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13137712 = 247412861
BaseRepresentation
bin110010000111…
…011100110000
3220201110112221
4302013130300
511330401322
61145330424
7216445240
oct62073460
926643487
1013137712
117463615
124496a14
13294cac3
141a5db20
1512479c7
hexc87730

13137712 has 40 divisors (see below), whose sum is σ = 29810592. Its totient is φ = 5491200.

The previous prime is 13137689. The next prime is 13137727. The reversal of 13137712 is 21773131.

It is a nialpdrome in base 16.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3162 + ... + 6022.

Almost surely, 213137712 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 13137712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905296).

13137712 is an abundant number, since it is smaller than the sum of its proper divisors (16672880).

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

13137712 is a wasteful number, since it uses less digits than its factorization.

13137712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2911 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 13137712 is about 3624.5981846268. The cubic root of 13137712 is about 235.9608285077.

It can be divided in two parts, 1313 and 7712, that added together give a square (9025 = 952).

The spelling of 13137712 in words is "thirteen million, one hundred thirty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 2861 4592 5722 11444 20027 22888 40054 45776 80108 117301 160216 234602 320432 469204 821107 938408 1642214 1876816 3284428 6568856 13137712