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13879680 = 27357229
BaseRepresentation
bin110100111100…
…100110000000
3222010011100020
4310330212000
512023122210
61213253440
7225655353
oct64744600
928104306
1013879680
117920011
124794280
132b4c739
141bb429a
151342770
hexd3c980

13879680 has 64 divisors (see below), whose sum is σ = 44247600. Its totient is φ = 3700736.

The previous prime is 13879673. The next prime is 13879717. The reversal of 13879680 is 8697831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) 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 7 ways as a sum of consecutive naturals, for example, 1695 + ... + 5534.

Almost surely, 213879680 is an apocalyptic number.

13879680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13879680 is an abundant number, since it is smaller than the sum of its proper divisors (30367920).

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

13879680 is an equidigital number, since it uses as much as digits as its factorization.

13879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 13879680 is about 3725.5442555417. The cubic root of 13879680 is about 240.3217905745.

The spelling of 13879680 in words is "thirteen million, eight hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 7229 14458 21687 28916 36145 43374 57832 72290 86748 108435 115664 144580 173496 216870 231328 289160 346992 433740 462656 578320 693984 867480 925312 1156640 1387968 1734960 2313280 2775936 3469920 4626560 6939840 13879680