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13125132 = 2233532293
BaseRepresentation
bin110010000100…
…011000001100
3220200211022000
4302010120030
511330001012
61145152300
7216363456
oct62043014
926624260
1013125132
117455119
12448b690
132947167
141a592d6
151243ddc
hexc8460c

13125132 has 48 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 4290624.

The previous prime is 13125127. The next prime is 13125169. The reversal of 13125132 is 23152131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4578 + ... + 6870.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 213125132 is an apocalyptic number.

13125132 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 13125132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342640).

13125132 is an abundant number, since it is smaller than the sum of its proper divisors (21560148).

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

13125132 is a wasteful number, since it uses less digits than its factorization.

13125132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2351 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13125132 is about 3622.8624042323. The cubic root of 13125132 is about 235.8854897885.

Adding to 13125132 its reverse (23152131), we get a palindrome (36277263).

The spelling of 13125132 in words is "thirteen million, one hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2293 2862 4586 5724 6879 9172 13758 20637 27516 41274 61911 82548 121529 123822 243058 247644 364587 486116 729174 1093761 1458348 2187522 3281283 4375044 6562566 13125132