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13095144 = 2332315867
BaseRepresentation
bin110001111101…
…000011101000
3220122022011100
4301331003220
511323021034
61144401400
7216210156
oct61750350
926568140
1013095144
117434637
124476260
13293660a
141a4c3d6
15123a099
hexc7d0e8

13095144 has 48 divisors (see below), whose sum is σ = 36616320. Its totient is φ = 4223520.

The previous prime is 13095139. The next prime is 13095149. The reversal of 13095144 is 44159031.

13095144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13095139) and next prime (13095149).

It is not an unprimeable number, because it can be changed into a prime (13095149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702 + ... + 5165.

It is an arithmetic number, because the mean of its divisors is an integer number (762840).

Almost surely, 213095144 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 13095144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308160).

13095144 is an abundant number, since it is smaller than the sum of its proper divisors (23521176).

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

13095144 is a wasteful number, since it uses less digits than its factorization.

13095144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13095144 is about 3618.7213211299. The cubic root of 13095144 is about 235.7057042134.

The spelling of 13095144 in words is "thirteen million, ninety-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5867 11734 17601 23468 35202 46936 52803 70404 105606 140808 181877 211212 363754 422424 545631 727508 1091262 1455016 1636893 2182524 3273786 4365048 6547572 13095144