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12920160 = 2535112447
BaseRepresentation
bin110001010010…
…010101100000
3220022102010110
4301102111200
511301421120
61140531320
7214551051
oct61222540
926272113
1012920160
117325120
1243b0b40
1328a4a86
141a04728
1512032e0
hexc52560

12920160 has 96 divisors (see below), whose sum is σ = 44416512. Its totient is φ = 3130880.

The previous prime is 12920093. The next prime is 12920177. The reversal of 12920160 is 6102921.

It is a tau number, because it is divible by the number of its divisors (96).

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, 4057 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (462672).

Almost surely, 212920160 is an apocalyptic number.

12920160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256).

12920160 is an abundant number, since it is smaller than the sum of its proper divisors (31496352).

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

12920160 is a wasteful number, since it uses less digits than its factorization.

12920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12920160 is about 3594.4624076487. The cubic root of 12920160 is about 234.6511195508.

The spelling of 12920160 in words is "twelve million, nine hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2447 2640 4894 5280 7341 9788 12235 14682 19576 24470 26917 29364 36705 39152 48940 53834 58728 73410 78304 80751 97880 107668 117456 134585 146820 161502 195760 215336 234912 269170 293640 323004 391520 403755 430672 538340 587280 646008 807510 861344 1076680 1174560 1292016 1615020 2153360 2584032 3230040 4306720 6460080 12920160