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12942240 = 253559457
BaseRepresentation
bin110001010111…
…101110100000
3220100112102020
4301113232200
511303122430
61141221440
7215002323
oct61275640
926315366
1012942240
11733a773
124401880
1328b1b3c
141a0c7ba
151209b10
hexc57ba0

12942240 has 96 divisors (see below), whose sum is σ = 41549760. Its totient is φ = 3385344.

The previous prime is 12942233. The next prime is 12942301. The reversal of 12942240 is 4224921.

12942240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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 12942240.

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, 28092 + ... + 28548.

It is an arithmetic number, because the mean of its divisors is an integer number (432810).

Almost surely, 212942240 is an apocalyptic number.

12942240 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 12942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774880).

12942240 is an abundant number, since it is smaller than the sum of its proper divisors (28607520).

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

12942240 is a wasteful number, since it uses less digits than its factorization.

12942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12942240 is about 3597.5324876921. The cubic root of 12942240 is about 234.7847130485.

The spelling of 12942240 in words is "twelve million, nine hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 457 472 480 590 708 885 914 944 1180 1371 1416 1770 1828 1888 2285 2360 2742 2832 3540 3656 4570 4720 5484 5664 6855 7080 7312 9140 9440 10968 13710 14160 14624 18280 21936 26963 27420 28320 36560 43872 53926 54840 73120 80889 107852 109680 134815 161778 215704 219360 269630 323556 404445 431408 539260 647112 808890 862816 1078520 1294224 1617780 2157040 2588448 3235560 4314080 6471120 12942240