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12870240 = 253526813
BaseRepresentation
bin110001000110…
…001001100000
3220012212122120
4301012021200
511243321430
61135504240
7214252365
oct61061140
926185576
1012870240
1172a0669
124388080
132888136
1419d046c
1511e3610
hexc46260

12870240 has 48 divisors (see below), whose sum is σ = 40542768. Its totient is φ = 3431936.

The previous prime is 12870233. The next prime is 12870259. The reversal of 12870240 is 4207821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12870240.

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, 12927 + ... + 13886.

It is an arithmetic number, because the mean of its divisors is an integer number (844641).

Almost surely, 212870240 is an apocalyptic number.

12870240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12870240 is an abundant number, since it is smaller than the sum of its proper divisors (27672528).

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

12870240 is a wasteful number, since it uses less digits than its factorization.

12870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26831 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12870240 is about 3587.5116724549. The cubic root of 12870240 is about 234.3485200306.

The spelling of 12870240 in words is "twelve million, eight hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26813 53626 80439 107252 134065 160878 214504 268130 321756 402195 429008 536260 643512 804390 858016 1072520 1287024 1608780 2145040 2574048 3217560 4290080 6435120 12870240