Search a number
-
+
13131392 = 27173593
BaseRepresentation
bin110010000101…
…111010000000
3220201010212212
4302011322000
511330201032
61145241252
7216420641
oct62057200
926633785
1013131392
11745989a
124493228
132949c71
141a5b6c8
151245bb2
hexc85e80

13131392 has 32 divisors (see below), whose sum is σ = 26355780. Its totient is φ = 6516736.

The previous prime is 13131373. The next prime is 13131401. The reversal of 13131392 is 29313131.

It can be written as a sum of positive squares in 2 ways, for example, as 11999296 + 1132096 = 3464^2 + 1064^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21848 + ... + 22440.

Almost surely, 213131392 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 13131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177890).

13131392 is an abundant number, since it is smaller than the sum of its proper divisors (13224388).

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

13131392 is an equidigital number, since it uses as much as digits as its factorization.

13131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its digits is 486, while the sum is 23.

The square root of 13131392 is about 3623.7262589771. The cubic root of 13131392 is about 235.9229854995.

The spelling of 13131392 in words is "thirteen million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 173 346 593 692 1186 1384 2372 2768 4744 5536 9488 11072 18976 22144 37952 75904 102589 205178 410356 820712 1641424 3282848 6565696 13131392