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12156320 = 255116907
BaseRepresentation
bin101110010111…
…110110100000
3211212121100002
4232113312200
511103000240
61112315132
7205220111
oct56276640
924777302
1012156320
116953250
1240a2aa8
1326981b7
141886208
151101d15
hexb97da0

12156320 has 48 divisors (see below), whose sum is σ = 31334688. Its totient is φ = 4419840.

The previous prime is 12156317. The next prime is 12156323. The reversal of 12156320 is 2365121.

It is an interprime number because it is at equal distance from previous prime (12156317) and next prime (12156323).

It is a super-2 number, since 2×121563202 = 295552231884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12156292 and 12156301.

It is not an unprimeable number, because it can be changed into a prime (12156323) 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, 1694 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (652806).

Almost surely, 212156320 is an apocalyptic number.

12156320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12156320 is an abundant number, since it is smaller than the sum of its proper divisors (19178368).

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

12156320 is a wasteful number, since it uses less digits than its factorization.

12156320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 12156320 is about 3486.5914587172. The cubic root of 12156320 is about 229.9326835133.

The spelling of 12156320 in words is "twelve million, one hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6907 13814 27628 34535 55256 69070 75977 110512 138140 151954 221024 276280 303908 379885 552560 607816 759770 1105120 1215632 1519540 2431264 3039080 6078160 12156320