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10472 = 2371117
BaseRepresentation
bin10100011101000
3112100212
42203220
5313342
6120252
742350
oct24350
915325
1010472
117960
126088
1349c7
143b60
153182
hex28e8

10472 has 32 divisors (see below), whose sum is σ = 25920. Its totient is φ = 3840.

The previous prime is 10463. The next prime is 10477. The reversal of 10472 is 27401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10477) by changing a digit.

10472 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 7 ways as a sum of consecutive naturals, for example, 608 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

210472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960).

10472 is an abundant number, since it is smaller than the sum of its proper divisors (15448).

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

10472 is a wasteful number, since it uses less digits than its factorization.

10472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 10472 is about 102.3327904437. The cubic root of 10472 is about 21.8781138424.

Adding to 10472 its reverse (27401), we get a palindrome (37873).

The spelling of 10472 in words is "ten thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 10472