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10680692 = 221117109131
BaseRepresentation
bin101000101111…
…100101110100
3202002122011012
4220233211310
510213240232
61020531352
7156533021
oct50574564
922078135
1010680692
116035620
1236b0b58
13229c649
1415c0548
15e0e9b2
hexa2f974

10680692 has 48 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 4492800.

The previous prime is 10680667. The next prime is 10680697. The reversal of 10680692 is 29608601.

It is a super-2 number, since 2×106806922 = 228154363197728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81467 + ... + 81597.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 210680692 is an apocalyptic number.

It is an amenable number.

10680692 is an abundant number, since it is smaller than the sum of its proper divisors (11273548).

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

10680692 is a wasteful number, since it uses less digits than its factorization.

10680692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 10680692 is about 3268.1328002393. The cubic root of 10680692 is about 220.2249214837.

The spelling of 10680692 in words is "ten million, six hundred eighty thousand, six hundred ninety-two".

Divisors: 1 2 4 11 17 22 34 44 68 109 131 187 218 262 374 436 524 748 1199 1441 1853 2227 2398 2882 3706 4454 4796 5764 7412 8908 14279 20383 24497 28558 40766 48994 57116 81532 97988 157069 242743 314138 485486 628276 970972 2670173 5340346 10680692