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13131768 = 2331342089
BaseRepresentation
bin110010000101…
…111111111000
3220201011101210
4302011333320
511330204033
61145243120
7216422016
oct62057770
926634353
1013131768
11745a101
1244934a0
13294a1a0
141a5b8b6
151245d63
hexc85ff8

13131768 has 32 divisors (see below), whose sum is σ = 35355600. Its totient is φ = 4040448.

The previous prime is 13131761. The next prime is 13131787. The reversal of 13131768 is 86713131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131761) 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, 20733 + ... + 21356.

Almost surely, 213131768 is an apocalyptic number.

It is an amenable number.

13131768 is an abundant number, since it is smaller than the sum of its proper divisors (22223832).

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

13131768 is a wasteful number, since it uses less digits than its factorization.

13131768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42111 (or 42107 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 13131768 is about 3623.7781389042. The cubic root of 13131768 is about 235.9252372587.

Adding to 13131768 its reverse (86713131), we get a palindrome (99844899).

It can be divided in two parts, 1313 and 1768, that added together give a triangular number (3081 = T78).

The spelling of 13131768 in words is "thirteen million, one hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 42089 84178 126267 168356 252534 336712 505068 547157 1010136 1094314 1641471 2188628 3282942 4377256 6565884 13131768