Search a number
-
+
13257144 = 23321710831
BaseRepresentation
bin110010100100…
…100110111000
3220221112101100
4302210212320
511343212034
61152051400
7220453365
oct62444670
926845340
1013257144
11753531a
124533b60
132992284
141a9146c
15126d099
hexca49b8

13257144 has 48 divisors (see below), whose sum is σ = 38020320. Its totient is φ = 4158720.

The previous prime is 13257143. The next prime is 13257151. The reversal of 13257144 is 44175231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13257143) 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 11 ways as a sum of consecutive naturals, for example, 4192 + ... + 6639.

It is an arithmetic number, because the mean of its divisors is an integer number (792090).

Almost surely, 213257144 is an apocalyptic number.

It is an amenable number.

13257144 is an abundant number, since it is smaller than the sum of its proper divisors (24763176).

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

13257144 is a wasteful number, since it uses less digits than its factorization.

13257144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860 (or 10853 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 13257144 is about 3641.0361162724. The cubic root of 13257144 is about 236.6736950457.

The spelling of 13257144 in words is "thirteen million, two hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 10831 21662 32493 43324 64986 86648 97479 129972 184127 194958 259944 368254 389916 552381 736508 779832 1104762 1473016 1657143 2209524 3314286 4419048 6628572 13257144