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12156560 = 2451311689
BaseRepresentation
bin101110010111…
…111010010000
3211212121122222
4232113322100
511103002220
61112320212
7205220603
oct56277220
924777588
1012156560
116953449
1240a3068
132698340
14188633a
151101e25
hexb97e90

12156560 has 40 divisors (see below), whose sum is σ = 30440760. Its totient is φ = 4488192.

The previous prime is 12156553. The next prime is 12156563. The reversal of 12156560 is 6565121.

It can be written as a sum of positive squares in 4 ways, for example, as 2521744 + 9634816 = 1588^2 + 3104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12156563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4805 + ... + 6884.

It is an arithmetic number, because the mean of its divisors is an integer number (761019).

Almost surely, 212156560 is an apocalyptic number.

12156560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12156560 is an abundant number, since it is smaller than the sum of its proper divisors (18284200).

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

12156560 is a wasteful number, since it uses less digits than its factorization.

12156560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11715 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 12156560 is about 3486.6258761158. The cubic root of 12156560 is about 229.9341966763.

The spelling of 12156560 in words is "twelve million, one hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 11689 23378 46756 58445 93512 116890 151957 187024 233780 303914 467560 607828 759785 935120 1215656 1519570 2431312 3039140 6078280 12156560