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12934272 = 273132591
BaseRepresentation
bin110001010101…
…110010000000
3220100010111010
4301111302000
511302344042
61141120520
7214640151
oct61256200
926303433
1012934272
11733478a
1243b9140
1328ab320
141a09928
15120759c
hexc55c80

12934272 has 64 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3978240.

The previous prime is 12934249. The next prime is 12934291. The reversal of 12934272 is 27243921.

It is a tau number, because it is divible by the number of its divisors (64).

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, 3697 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 212934272 is an apocalyptic number.

12934272 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 12934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

12934272 is an abundant number, since it is smaller than the sum of its proper divisors (24079488).

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

12934272 is a wasteful number, since it uses less digits than its factorization.

12934272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2609 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 12934272 is about 3596.4248914721. The cubic root of 12934272 is about 234.7365207561.

It can be divided in two parts, 1293 and 4272, that added together give a triangular number (5565 = T105).

The spelling of 12934272 in words is "twelve million, nine hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 2591 4992 5182 7773 10364 15546 20728 31092 33683 41456 62184 67366 82912 101049 124368 134732 165824 202098 248736 269464 331648 404196 497472 538928 808392 994944 1077856 1616784 2155712 3233568 4311424 6467136 12934272