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10682680 = 235535039
BaseRepresentation
bin101000110000…
…000100111000
3202002201212211
4220300010320
510213321210
61020544504
7156541561
oct50600470
922081784
1010682680
116037068
1236b2134
1322a0518
1415c1168
15e1038a
hexa30138

10682680 has 32 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 4191616.

The previous prime is 10682663. The next prime is 10682689. The reversal of 10682680 is 8628601.

It is a super-2 number, since 2×106826802 = 228239303964800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10682689) 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, 400 + ... + 4639.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 210682680 is an apocalyptic number.

10682680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10682680 is an abundant number, since it is smaller than the sum of its proper divisors (13811720).

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

10682680 is a wasteful number, since it uses less digits than its factorization.

10682680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 10682680 is about 3268.4369352949. The cubic root of 10682680 is about 220.2385841435.

The spelling of 10682680 in words is "ten million, six hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 5039 10078 20156 25195 40312 50390 100780 201560 267067 534134 1068268 1335335 2136536 2670670 5341340 10682680