Search a number
-
+
13125088 = 2517231049
BaseRepresentation
bin110010000100…
…010111100000
3220200211020101
4302010113200
511330000323
61145152144
7216363364
oct62042740
926624211
1013125088
117455089
12448b654
132947132
141a592a4
151243dad
hexc845e0

13125088 has 48 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 5902336.

The previous prime is 13125083. The next prime is 13125089. The reversal of 13125088 is 88052131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125083) 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, 11988 + ... + 13036.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 213125088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

13125088 is an abundant number, since it is smaller than the sum of its proper divisors (15451712).

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

13125088 is a wasteful number, since it uses less digits than its factorization.

13125088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13125088 is about 3622.8563316808. The cubic root of 13125088 is about 235.8852261982.

It can be divided in two parts, 1312 and 5088, that added together give a square (6400 = 802).

The spelling of 13125088 in words is "thirteen million, one hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1049 1564 2098 3128 4196 6256 8392 12512 16784 17833 24127 33568 35666 48254 71332 96508 142664 193016 285328 386032 410159 570656 772064 820318 1640636 3281272 6562544 13125088