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12955272 = 23311311583
BaseRepresentation
bin110001011010…
…111010001000
3220101012021220
4301122322020
511304032042
61141402040
7215055321
oct61327210
926335256
1012955272
117349540
124409320
1328b7a55
141a13448
15120d8ec
hexc5ae88

12955272 has 64 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 3796800.

The previous prime is 12955259. The next prime is 12955273. The reversal of 12955272 is 27255921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12955273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7393 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (570240).

Almost surely, 212955272 is an apocalyptic number.

12955272 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 12955272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247680).

12955272 is an abundant number, since it is smaller than the sum of its proper divisors (23540088).

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

12955272 is a wasteful number, since it uses less digits than its factorization.

12955272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 12955272 is about 3599.3432734320. The cubic root of 12955272 is about 234.8634909616.

The spelling of 12955272 in words is "twelve million, nine hundred fifty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 1583 2046 2728 3166 4092 4749 6332 8184 9498 12664 17413 18996 34826 37992 49073 52239 69652 98146 104478 139304 147219 196292 208956 294438 392584 417912 539803 588876 1079606 1177752 1619409 2159212 3238818 4318424 6477636 12955272