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13149756 = 2233313389
BaseRepresentation
bin110010001010…
…011000111100
3220202002002000
4302022120330
511331243011
61145502300
7216525324
oct62123074
926662060
1013149756
117471674
1244a1990
132955429
141a64284
15124b356
hexc8a63c

13149756 has 48 divisors (see below), whose sum is σ = 34288800. Its totient is φ = 4358016.

The previous prime is 13149751. The next prime is 13149757. The reversal of 13149756 is 65794131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13149756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13149751) 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, 33610 + ... + 33998.

It is an arithmetic number, because the mean of its divisors is an integer number (714350).

Almost surely, 213149756 is an apocalyptic number.

It is an amenable number.

13149756 is an abundant number, since it is smaller than the sum of its proper divisors (21139044).

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

13149756 is a wasteful number, since it uses less digits than its factorization.

13149756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 13149756 is about 3626.2592295643. The cubic root of 13149756 is about 236.0329121963.

It can be divided in two parts, 13 and 149756, that added together give a square (149769 = 3872).

The spelling of 13149756 in words is "thirteen million, one hundred forty-nine thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 313 389 626 778 939 1167 1252 1556 1878 2334 2817 3501 3756 4668 5634 7002 8451 10503 11268 14004 16902 21006 33804 42012 121757 243514 365271 487028 730542 1095813 1461084 2191626 3287439 4383252 6574878 13149756