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12813136 = 247233491
BaseRepresentation
bin110000111000…
…001101010000
3220002222022121
4300320031100
511240010021
61134344024
7213624040
oct60701520
926088277
1012813136
117261776
12435b014
13286814b
1419b7720
1511d1741
hexc38350

12813136 has 40 divisors (see below), whose sum is σ = 28551744. Its totient is φ = 5456640.

The previous prime is 12813131. The next prime is 12813149. The reversal of 12813136 is 63131821.

It is a self number, because there is not a number n which added to its sum of digits gives 12813136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25851 + ... + 26341.

Almost surely, 212813136 is an apocalyptic number.

12813136 is a gapful number since it is divisible by the number (16) 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 12813136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275872).

12813136 is an abundant number, since it is smaller than the sum of its proper divisors (15738608).

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

12813136 is a wasteful number, since it uses less digits than its factorization.

12813136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 12813136 is about 3579.5441050503. The cubic root of 12813136 is about 234.0014123177.

Adding to 12813136 its reverse (63131821), we get a palindrome (75944957).

The spelling of 12813136 in words is "twelve million, eight hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 233 466 491 932 982 1631 1864 1964 3262 3437 3728 3928 6524 6874 7856 13048 13748 26096 27496 54992 114403 228806 457612 800821 915224 1601642 1830448 3203284 6406568 12813136