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13138752 = 263116221
BaseRepresentation
bin110010000111…
…101101000000
3220201111222110
4302013231000
511330420002
61145335320
7216451254
oct62075500
926644873
1013138752
117464380
124497540
132950413
141a60264
151247e6c
hexc87b40

13138752 has 56 divisors (see below), whose sum is σ = 37929312. Its totient is φ = 3980800.

The previous prime is 13138721. The next prime is 13138757. The reversal of 13138752 is 25783131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138757) 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, 999 + ... + 5222.

Almost surely, 213138752 is an apocalyptic number.

13138752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13138752 is an abundant number, since it is smaller than the sum of its proper divisors (24790560).

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

13138752 is a wasteful number, since it uses less digits than its factorization.

13138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6237 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 13138752 is about 3624.7416459660. The cubic root of 13138752 is about 235.9670546752.

It can be divided in two parts, 131 and 38752, that added together give a palindrome (38883).

The spelling of 13138752 in words is "thirteen million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 6221 12442 18663 24884 37326 49768 68431 74652 99536 136862 149304 199072 205293 273724 298608 398144 410586 547448 597216 821172 1094896 1194432 1642344 2189792 3284688 4379584 6569376 13138752