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12875040 = 253258941
BaseRepresentation
bin110001000111…
…010100100000
3220020010020100
4301013110200
511244000130
61135542400
7214302363
oct61072440
926203210
1012875040
1172a4232
12438aa00
13288a389
1419d20da
1511e4c60
hexc47520

12875040 has 72 divisors (see below), whose sum is σ = 43940988. Its totient is φ = 3432960.

The previous prime is 12875021. The next prime is 12875059. The reversal of 12875040 is 4057821.

It is an interprime number because it is at equal distance from previous prime (12875021) and next prime (12875059).

It can be written as a sum of positive squares in 2 ways, for example, as 12873744 + 1296 = 3588^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12874995 and 12875013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3031 + ... + 5910.

Almost surely, 212875040 is an apocalyptic number.

12875040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12875040 is an abundant number, since it is smaller than the sum of its proper divisors (31065948).

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

12875040 is a wasteful number, since it uses less digits than its factorization.

12875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12875040 is about 3588.1805974616. The cubic root of 12875040 is about 234.3776501034.

The spelling of 12875040 in words is "twelve million, eight hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8941 17882 26823 35764 44705 53646 71528 80469 89410 107292 134115 143056 160938 178820 214584 268230 286112 321876 357640 402345 429168 536460 643752 715280 804690 858336 1072920 1287504 1430560 1609380 2145840 2575008 3218760 4291680 6437520 12875040