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15068088 = 2332724271
BaseRepresentation
bin111001011110…
…101110111000
31001100112112100
4321132232320
512324134323
61254543400
7242035200
oct71365670
931315470
1015068088
118561972
125067b60
133177639
142003400
1514c9943
hexe5ebb8

15068088 has 72 divisors (see below), whose sum is σ = 47483280. Its totient is φ = 4304160.

The previous prime is 15068087. The next prime is 15068093. The reversal of 15068088 is 88086051.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15068087) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1393 + ... + 5663.

It is an arithmetic number, because the mean of its divisors is an integer number (659490).

Almost surely, 215068088 is an apocalyptic number.

15068088 is a gapful number since it is divisible by the number (18) 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 15068088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23741640).

15068088 is an abundant number, since it is smaller than the sum of its proper divisors (32415192).

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

15068088 is a wasteful number, since it uses less digits than its factorization.

15068088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 15068088 is about 3881.7635167537. The cubic root of 15068088 is about 246.9937985735.

The spelling of 15068088 in words is "fifteen million, sixty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 4271 8542 12813 17084 25626 29897 34168 38439 51252 59794 76878 89691 102504 119588 153756 179382 209279 239176 269073 307512 358764 418558 538146 627837 717528 837116 1076292 1255674 1674232 1883511 2152584 2511348 3767022 5022696 7534044 15068088