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13149972 = 22331111069
BaseRepresentation
bin110010001010…
…011100010100
3220202002101000
4302022130110
511331244342
61145503300
7216526053
oct62123424
926662330
1013149972
117471850
1244a1b30
132955564
141a6439a
15124b44c
hexc8a714

13149972 has 48 divisors (see below), whose sum is σ = 37195200. Its totient is φ = 3984480.

The previous prime is 13149937. The next prime is 13149973. The reversal of 13149972 is 27994131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13149973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4347 + ... + 6722.

It is an arithmetic number, because the mean of its divisors is an integer number (774900).

Almost surely, 213149972 is an apocalyptic number.

13149972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13149972 is an abundant number, since it is smaller than the sum of its proper divisors (24045228).

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

13149972 is a wasteful number, since it uses less digits than its factorization.

13149972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11093 (or 11085 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 13149972 is about 3626.2890121997. The cubic root of 13149972 is about 236.0342045607.

The spelling of 13149972 in words is "thirteen million, one hundred forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 11069 22138 33207 44276 66414 99621 121759 132828 199242 243518 298863 365277 398484 487036 597726 730554 1095831 1195452 1461108 2191662 3287493 4383324 6574986 13149972