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10679616 = 263218541
BaseRepresentation
bin101000101111…
…010101000000
3202002120200100
4220233111000
510213221431
61020522400
7156526623
oct50572500
922076610
1010679616
116034832
1236b0400
13229bccc
1415bddba
15e0e4e6
hexa2f540

10679616 has 42 divisors (see below), whose sum is σ = 30612842. Its totient is φ = 3559680.

The previous prime is 10679579. The next prime is 10679623. The reversal of 10679616 is 61697601.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 1679616 = 3000^2 + 1296^2 .

It is a super-2 number, since 2×106796162 = 228108395814912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8695 + ... + 9846.

Almost surely, 210679616 is an apocalyptic number.

10679616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10679616 is an abundant number, since it is smaller than the sum of its proper divisors (19933226).

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

10679616 is a wasteful number, since it uses less digits than its factorization.

10679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18559 (or 18546 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10679616 is about 3267.9681760996. The cubic root of 10679616 is about 220.2175258963.

The spelling of 10679616 in words is "ten million, six hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18541 37082 55623 74164 111246 148328 166869 222492 296656 333738 444984 593312 667476 889968 1186624 1334952 1779936 2669904 3559872 5339808 10679616