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13375368 = 233420641
BaseRepresentation
bin110011000001…
…011110001000
3221011112120000
4303001132020
511411002433
61154403000
7221455146
oct63013610
927145500
1013375368
117606126
124590460
132a04026
141ac2596
151293113
hexcc1788

13375368 has 40 divisors (see below), whose sum is σ = 37465230. Its totient is φ = 4458240.

The previous prime is 13375363. The next prime is 13375381. The reversal of 13375368 is 86357331.

It can be written as a sum of positive squares in only one way, i.e., 12830724 + 544644 = 3582^2 + 738^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13375361) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9673 + ... + 10968.

Almost surely, 213375368 is an apocalyptic number.

13375368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13375368 is an abundant number, since it is smaller than the sum of its proper divisors (24089862).

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

13375368 is a wasteful number, since it uses less digits than its factorization.

13375368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20659 (or 20646 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13375368 is about 3657.2350211601. The cubic root of 13375368 is about 237.3751469343.

It can be divided in two parts, 13 and 375368, that multiplied together give a palindrome (4879784).

The spelling of 13375368 in words is "thirteen million, three hundred seventy-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 20641 41282 61923 82564 123846 165128 185769 247692 371538 495384 557307 743076 1114614 1486152 1671921 2229228 3343842 4458456 6687684 13375368