Search a number
-
+
13131608 = 2372139241
BaseRepresentation
bin110010000101…
…111101011000
3220201011011212
4302011331120
511330202413
61145242252
7216421400
oct62057530
926634155
1013131608
117459a76
124493388
13294a0a9
141a5b800
151245ca8
hexc85f58

13131608 has 48 divisors (see below), whose sum is σ = 28967400. Its totient is φ = 5564160.

The previous prime is 13131607. The next prime is 13131623. The reversal of 13131608 is 80613131.

13131608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54368 + ... + 54608.

Almost surely, 213131608 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 13131608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483700).

13131608 is an abundant number, since it is smaller than the sum of its proper divisors (15835792).

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

13131608 is a wasteful number, since it uses less digits than its factorization.

13131608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 13131608 is about 3623.7560624303. The cubic root of 13131608 is about 235.9242790685.

Adding to 13131608 its reverse (80613131), we get a palindrome (93744739).

The spelling of 13131608 in words is "thirteen million, one hundred thirty-one thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 139 196 241 278 392 482 556 964 973 1112 1687 1928 1946 3374 3892 6748 6811 7784 11809 13496 13622 23618 27244 33499 47236 54488 66998 94472 133996 234493 267992 468986 937972 1641451 1875944 3282902 6565804 13131608