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10608864 = 253715787
BaseRepresentation
bin101000011110…
…000011100000
3201221222121220
4220132003200
510203440424
61015215040
7156113430
oct50360340
921858556
1010608864
115a96662
123677480
132275a46
1415a22c0
15de8579
hexa1e0e0

10608864 has 48 divisors (see below), whose sum is σ = 31828608. Its totient is φ = 3030912.

The previous prime is 10608863. The next prime is 10608877. The reversal of 10608864 is 46880601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106088642 = 225095990740992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10608863) 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, 7222 + ... + 8565.

It is an arithmetic number, because the mean of its divisors is an integer number (663096).

Almost surely, 210608864 is an apocalyptic number.

10608864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10608864 is an abundant number, since it is smaller than the sum of its proper divisors (21219744).

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

10608864 is a wasteful number, since it uses less digits than its factorization.

10608864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15807 (or 15799 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10608864 is about 3257.1251127336. The cubic root of 10608864 is about 219.7301374285.

The spelling of 10608864 in words is "ten million, six hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15787 31574 47361 63148 94722 110509 126296 189444 221018 252592 331527 378888 442036 505184 663054 757776 884072 1326108 1515552 1768144 2652216 3536288 5304432 10608864