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118272 = 293711
BaseRepresentation
bin11100111000000000
320000020110
4130320000
512241042
62311320
71001550
oct347000
9200213
10118272
1180950
1258540
1341aab
1431160
152509c
hex1ce00

118272 has 80 divisors (see below), whose sum is σ = 392832. Its totient is φ = 30720.

The previous prime is 118259. The next prime is 118273. The reversal of 118272 is 272811.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10747 + ... + 10757.

118272 is a Friedman number, since it can be written as 2112*8*7, using all its digits and the basic arithmetic operations.

2118272 is an apocalyptic number.

118272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416).

118272 is an abundant number, since it is smaller than the sum of its proper divisors (274560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

118272 is an equidigital number, since it uses as much as digits as its factorization.

118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 118272 is about 343.9069641633. The cubic root of 118272 is about 49.0863395173.

118272 divided by its product of digits (224) gives a triangular number (528 = T32).

The spelling of 118272 in words is "one hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1792 1848 2112 2464 2688 2816 3584 3696 4224 4928 5376 5632 7392 8448 9856 10752 14784 16896 19712 29568 39424 59136 118272