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20472 = 233853
BaseRepresentation
bin100111111111000
31001002020
410333320
51123342
6234440
7113454
oct47770
931066
1020472
1114421
12ba20
13941a
147664
1560ec
hex4ff8

20472 has 16 divisors (see below), whose sum is σ = 51240. Its totient is φ = 6816.

The previous prime is 20443. The next prime is 20477. The reversal of 20472 is 27402.

It is a nialpdrome in base 12 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20477) by changing a digit.

20472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 403 + ... + 450.

220472 is an apocalyptic number.

It is an amenable number.

20472 is an abundant number, since it is smaller than the sum of its proper divisors (30768).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25620).

20472 is a wasteful number, since it uses less digits than its factorization.

20472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20472 is about 143.0803969802. The cubic root of 20472 is about 27.3560522330.

Adding to 20472 its reverse (27402), we get a palindrome (47874).

It can be divided in two parts, 204 and 72, that added together give a triangular number (276 = T23).

The spelling of 20472 in words is "twenty thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 853 1706 2559 3412 5118 6824 10236 20472