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10704 = 243223
BaseRepresentation
bin10100111010000
3112200110
42213100
5320304
6121320
743131
oct24720
915613
1010704
118051
126240
134b45
143c88
153289
hex29d0

10704 has 20 divisors (see below), whose sum is σ = 27776. Its totient is φ = 3552.

The previous prime is 10691. The next prime is 10709. The reversal of 10704 is 40701.

It is a super-2 number, since 2×107042 = 229151232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10709) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64 + ... + 159.

210704 is an apocalyptic number.

It is an amenable number.

10704 is an abundant number, since it is smaller than the sum of its proper divisors (17072).

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 (13888).

10704 is a wasteful number, since it uses less digits than its factorization.

10704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10704 is about 103.4601372510. The cubic root of 10704 is about 22.0385000785.

The spelling of 10704 in words is "ten thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 223 446 669 892 1338 1784 2676 3568 5352 10704