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15133068 = 223515569
BaseRepresentation
bin111001101110…
…100110001100
31001110211200000
4321232212030
512333224233
61300204300
7242425506
oct71564614
931424600
1015133068
1185a6775
125099690
13319b0a2
14201cd76
1514ddd13
hexe6e98c

15133068 has 36 divisors (see below), whose sum is σ = 39672360. Its totient is φ = 5044032.

The previous prime is 15133051. The next prime is 15133093. The reversal of 15133068 is 86033151.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6813 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (1102010).

Almost surely, 215133068 is an apocalyptic number.

15133068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15133068 is an abundant number, since it is smaller than the sum of its proper divisors (24539292).

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

15133068 is a wasteful number, since it uses less digits than its factorization.

15133068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588 (or 15574 counting only the distinct ones).

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

The square root of 15133068 is about 3890.1244196041. The cubic root of 15133068 is about 247.3483368348.

The spelling of 15133068 in words is "fifteen million, one hundred thirty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 15569 31138 46707 62276 93414 140121 186828 280242 420363 560484 840726 1261089 1681452 2522178 3783267 5044356 7566534 15133068