Search a number
-
+
13131636 = 2237156329
BaseRepresentation
bin110010000101…
…111101110100
3220201011012220
4302011331310
511330203021
61145242340
7216421440
oct62057564
926634186
1013131636
117459aa1
1244933b0
13294a0cb
141a5b820
151245cc6
hexc85f74

13131636 has 24 divisors (see below), whose sum is σ = 35017920. Its totient is φ = 3751872.

The previous prime is 13131623. The next prime is 13131649. The reversal of 13131636 is 63613131.

It is an interprime number because it is at equal distance from previous prime (13131623) and next prime (13131649).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78081 + ... + 78248.

It is an arithmetic number, because the mean of its divisors is an integer number (1459080).

Almost surely, 213131636 is an apocalyptic number.

It is an amenable number.

13131636 is an abundant number, since it is smaller than the sum of its proper divisors (21886284).

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

13131636 is a wasteful number, since it uses less digits than its factorization.

13131636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156343 (or 156341 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 13131636 is about 3623.7599258229. The cubic root of 13131636 is about 235.9244467524.

Adding to 13131636 its reverse (63613131), we get a palindrome (76744767).

The spelling of 13131636 in words is "thirteen million, one hundred thirty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 156329 312658 468987 625316 937974 1094303 1875948 2188606 3282909 4377212 6565818 13131636