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10682440 = 235299209
BaseRepresentation
bin101000110000…
…000001001000
3202002201112221
4220300001020
510213314230
61020543424
7156541066
oct50600110
922081487
1010682440
11603696a
1236b1b74
1322a0392
1415c1036
15e1027a
hexa30048

10682440 has 32 divisors (see below), whose sum is σ = 24867000. Its totient is φ = 4125184.

The previous prime is 10682429. The next prime is 10682471. The reversal of 10682440 is 4428601.

It can be written as a sum of positive squares in 4 ways, for example, as 6832996 + 3849444 = 2614^2 + 1962^2 .

It is a super-2 number, since 2×106824402 = 228229048707200, which contains 22 as substring.

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, 3445 + ... + 5764.

Almost surely, 210682440 is an apocalyptic number.

10682440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10682440 is an abundant number, since it is smaller than the sum of its proper divisors (14184560).

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

10682440 is a wasteful number, since it uses less digits than its factorization.

10682440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 10682440 is about 3268.4002202913. The cubic root of 10682440 is about 220.2369348178.

The spelling of 10682440 in words is "ten million, six hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 9209 18418 36836 46045 73672 92090 184180 267061 368360 534122 1068244 1335305 2136488 2670610 5341220 10682440