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13300756 = 227279859
BaseRepresentation
bin110010101111…
…010000010100
3221000202012121
4302233100110
511401111011
61153025324
7221024500
oct62572024
927022177
1013300756
117565067
124555244
1329a9091
141aa3300
15127ae71
hexcaf414

13300756 has 36 divisors (see below), whose sum is σ = 27451200. Its totient is φ = 5621616.

The previous prime is 13300753. The next prime is 13300787. The reversal of 13300756 is 65700331.

It is a happy number.

It is a super-2 number, since 2×133007562 = 353820220343072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13300756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300753) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15055 + ... + 15913.

Almost surely, 213300756 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 13300756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725600).

13300756 is an abundant number, since it is smaller than the sum of its proper divisors (14150444).

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

13300756 is a wasteful number, since it uses less digits than its factorization.

13300756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 13300756 is about 3647.0201534952. The cubic root of 13300756 is about 236.9329393013.

The spelling of 13300756 in words is "thirteen million, three hundred thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 79 98 158 196 316 553 859 1106 1718 2212 3436 3871 6013 7742 12026 15484 24052 42091 67861 84182 135722 168364 271444 475027 950054 1900108 3325189 6650378 13300756