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10639680 = 263511083
BaseRepresentation
bin101000100101…
…100101000000
3202000112220020
4220211211000
510210432210
61020013440
7156302322
oct50454500
922015806
1010639680
116007827
123691280
132286a8c
1415ad612
15e02770
hexa25940

10639680 has 56 divisors (see below), whose sum is σ = 33784032. Its totient is φ = 2836992.

The previous prime is 10639669. The next prime is 10639691. The reversal of 10639680 is 8693601.

It is an interprime number because it is at equal distance from previous prime (10639669) and next prime (10639691).

It is a super-2 number, since 2×106396802 = 226405581004800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4582 + ... + 6501.

Almost surely, 210639680 is an apocalyptic number.

10639680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10639680 is an abundant number, since it is smaller than the sum of its proper divisors (23144352).

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

10639680 is a wasteful number, since it uses less digits than its factorization.

10639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11103 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 10639680 is about 3261.8522345440. The cubic root of 10639680 is about 219.9426847938.

The spelling of 10639680 in words is "ten million, six hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 11083 22166 33249 44332 55415 66498 88664 110830 132996 166245 177328 221660 265992 332490 354656 443320 531984 664980 709312 886640 1063968 1329960 1773280 2127936 2659920 3546560 5319840 10639680