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12682040 = 235745293
BaseRepresentation
bin110000011000…
…001100111000
3212212022111012
4300120030320
511221311130
61131453052
7212536610
oct60301470
925768435
1012682040
117182228
1242b7188
132820587
141981a40
1511a7995
hexc18338

12682040 has 32 divisors (see below), whose sum is σ = 32611680. Its totient is φ = 4348032.

The previous prime is 12682027. The next prime is 12682067. The reversal of 12682040 is 4028621.

12682040 = 13432 + 13442 + ... + 13492.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12681997 and 12682015.

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, 22367 + ... + 22926.

It is an arithmetic number, because the mean of its divisors is an integer number (1019115).

Almost surely, 212682040 is an apocalyptic number.

12682040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12682040 is an abundant number, since it is smaller than the sum of its proper divisors (19929640).

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

12682040 is a wasteful number, since it uses less digits than its factorization.

12682040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45311 (or 45307 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12682040 is about 3561.1851959706. The cubic root of 12682040 is about 233.2006229468.

The spelling of 12682040 in words is "twelve million, six hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 45293 90586 181172 226465 317051 362344 452930 634102 905860 1268204 1585255 1811720 2536408 3170510 6341020 12682040