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12813912 = 2332315741
BaseRepresentation
bin110000111000…
…011001011000
3220010000101100
4300320121120
511240021122
61134351400
7213626226
oct60703130
926100340
1012813912
117262311
12435b560
1328685c7
1419b7b16
1511d1aac
hexc38658

12813912 has 48 divisors (see below), whose sum is σ = 35830080. Its totient is φ = 4132800.

The previous prime is 12813901. The next prime is 12813917. The reversal of 12813912 is 21931821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813917) 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, 639 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (746460).

Almost surely, 212813912 is an apocalyptic number.

12813912 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 12813912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915040).

12813912 is an abundant number, since it is smaller than the sum of its proper divisors (23016168).

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

12813912 is a wasteful number, since it uses less digits than its factorization.

12813912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5777 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 12813912 is about 3579.6524971008. The cubic root of 12813912 is about 234.0061361529.

The spelling of 12813912 in words is "twelve million, eight hundred thirteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5741 11482 17223 22964 34446 45928 51669 68892 103338 137784 177971 206676 355942 413352 533913 711884 1067826 1423768 1601739 2135652 3203478 4271304 6406956 12813912