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12855132 = 2233373217
BaseRepresentation
bin110001000010…
…011101011100
3220012002221000
4301002131130
511242331012
61135310300
7214160343
oct61023534
926162830
1012855132
117290284
12437b390
1328812b4
1419c8b5a
1511ddddc
hexc4275c

12855132 has 48 divisors (see below), whose sum is σ = 34239520. Its totient is φ = 4167936.

The previous prime is 12855131. The next prime is 12855187. The reversal of 12855132 is 23155821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12855096 and 12855105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12855131) 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, 2388 + ... + 5604.

Almost surely, 212855132 is an apocalyptic number.

12855132 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 12855132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17119760).

12855132 is an abundant number, since it is smaller than the sum of its proper divisors (21384388).

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

12855132 is a wasteful number, since it uses less digits than its factorization.

12855132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3259 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12855132 is about 3585.4054164069. The cubic root of 12855132 is about 234.2567858251.

The spelling of 12855132 in words is "twelve million, eight hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3217 3996 6434 9651 12868 19302 28953 38604 57906 86859 115812 119029 173718 238058 347436 357087 476116 714174 1071261 1428348 2142522 3213783 4285044 6427566 12855132