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13858680 = 23351110499
BaseRepresentation
bin110100110111…
…011101111000
3222002002112110
4310313131320
512021434210
61213012320
7225540213
oct64673570
928062473
1013858680
117906260
1247840a0
132b43004
141baa77a
15133b420
hexd37778

13858680 has 64 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 3359360.

The previous prime is 13858679. The next prime is 13858699. The reversal of 13858680 is 8685831.

It is a happy number.

It is a super-2 number, since 2×138586802 = 384126022684800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) 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 15 ways as a sum of consecutive naturals, for example, 3930 + ... + 6569.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 213858680 is an apocalyptic number.

13858680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13858680 is an abundant number, since it is smaller than the sum of its proper divisors (31501320).

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

13858680 is a wasteful number, since it uses less digits than its factorization.

13858680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 13858680 is about 3722.7248085240. The cubic root of 13858680 is about 240.2005268519.

The spelling of 13858680 in words is "thirteen million, eight hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10499 20998 31497 41996 52495 62994 83992 104990 115489 125988 157485 209980 230978 251976 314970 346467 419960 461956 577445 629940 692934 923912 1154890 1259880 1385868 1732335 2309780 2771736 3464670 4619560 6929340 13858680