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10679968 = 251325673
BaseRepresentation
bin101000101111…
…011010100000
3202002121011101
4220233122200
510213224333
61020524144
7156530635
oct50573240
922077141
1010679968
116035022
1236b0654
13229c210
1415c018c
15e0e67d
hexa2f6a0

10679968 has 24 divisors (see below), whose sum is σ = 22644468. Its totient is φ = 4929024.

The previous prime is 10679899. The next prime is 10679983. The reversal of 10679968 is 86997601.

It can be written as a sum of positive squares in 2 ways, for example, as 10679824 + 144 = 3268^2 + 12^2 .

It is a super-2 number, since 2×106799682 = 228123432962048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12421 + ... + 13252.

Almost surely, 210679968 is an apocalyptic number.

It is an amenable number.

10679968 is an abundant number, since it is smaller than the sum of its proper divisors (11964500).

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

10679968 is a wasteful number, since it uses less digits than its factorization.

10679968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25696 (or 25688 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 10679968 is about 3268.0220317495. The cubic root of 10679968 is about 220.2199453253.

The spelling of 10679968 in words is "ten million, six hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 25673 51346 102692 205384 333749 410768 667498 821536 1334996 2669992 5339984 10679968