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13099872 = 253612237
BaseRepresentation
bin110001111110…
…001101100000
3220122112122110
4301332031200
511323143442
61144435320
7216230022
oct61761540
926575573
1013099872
117438145
124478b40
132938806
141a50012
15123b69c
hexc7e360

13099872 has 48 divisors (see below), whose sum is σ = 34966512. Its totient is φ = 4293120.

The previous prime is 13099871. The next prime is 13099883. The reversal of 13099872 is 27899031.

13099872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13099872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13099871) 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, 4738 + ... + 6974.

It is an arithmetic number, because the mean of its divisors is an integer number (728469).

Almost surely, 213099872 is an apocalyptic number.

13099872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13099872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17483256).

13099872 is an abundant number, since it is smaller than the sum of its proper divisors (21866640).

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

13099872 is a wasteful number, since it uses less digits than its factorization.

13099872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 13099872 is about 3619.3745316007. The cubic root of 13099872 is about 235.7340679711.

The spelling of 13099872 in words is "thirteen million, ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2237 2928 4474 5856 6711 8948 13422 17896 26844 35792 53688 71584 107376 136457 214752 272914 409371 545828 818742 1091656 1637484 2183312 3274968 4366624 6549936 13099872