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12956832 = 253276427
BaseRepresentation
bin110001011011…
…010010100000
3220101021102200
4301123102200
511304104312
61141413200
7215063010
oct61332240
926337380
1012956832
11734a729
12440a200
1328b8685
141a13c40
15120e0dc
hexc5b4a0

12956832 has 72 divisors (see below), whose sum is σ = 42116256. Its totient is φ = 3701376.

The previous prime is 12956831. The next prime is 12956837. The reversal of 12956832 is 23865921.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12956831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1198 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (584948).

Almost surely, 212956832 is an apocalyptic number.

12956832 is a gapful number since it is divisible by the number (12) 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 12956832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058128).

12956832 is an abundant number, since it is smaller than the sum of its proper divisors (29159424).

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

12956832 is a wasteful number, since it uses less digits than its factorization.

12956832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 6439 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12956832 is about 3599.5599731078. The cubic root of 12956832 is about 234.8729175575.

It can be divided in two parts, 129568 and 32, that added together give a square (129600 = 3602).

The spelling of 12956832 in words is "twelve million, nine hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6427 12854 19281 25708 38562 44989 51416 57843 77124 89978 102832 115686 134967 154248 179956 205664 231372 269934 308496 359912 404901 462744 539868 616992 719824 809802 925488 1079736 1439648 1619604 1850976 2159472 3239208 4318944 6478416 12956832