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15068864 = 262329353
BaseRepresentation
bin111001011110…
…111011000000
31001100120121002
4321132323000
512324200424
61254551132
7242040356
oct71367300
931316532
1015068864
118562508
1250684a8
133177ab5
1420037d6
1514c9cae
hexe5eec0

15068864 has 56 divisors (see below), whose sum is σ = 32369760. Its totient is φ = 6938624.

The previous prime is 15068863. The next prime is 15068869. The reversal of 15068864 is 46886051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15068863) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42512 + ... + 42864.

Almost surely, 215068864 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 15068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184880).

15068864 is an abundant number, since it is smaller than the sum of its proper divisors (17300896).

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

15068864 is a wasteful number, since it uses less digits than its factorization.

15068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 15068864 is about 3881.8634700360. The cubic root of 15068864 is about 246.9980385252.

The spelling of 15068864 in words is "fifteen million, sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 184 232 353 368 464 667 706 736 928 1334 1412 1472 1856 2668 2824 5336 5648 8119 10237 10672 11296 16238 20474 21344 22592 32476 40948 42688 64952 81896 129904 163792 235451 259808 327584 470902 519616 655168 941804 1883608 3767216 7534432 15068864