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15066064 = 2413113641
BaseRepresentation
bin111001011110…
…001111010000
31001100102202101
4321132033100
512324103224
61254530144
7242026246
oct71361720
931312671
1015066064
1185603a2
125066954
133176740
142002796
1514c9044
hexe5e3d0

15066064 has 40 divisors (see below), whose sum is σ = 31763592. Its totient is φ = 6881280.

The previous prime is 15066043. The next prime is 15066083. The reversal of 15066064 is 46066051.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 14899600 = 408^2 + 3860^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23184 + ... + 23824.

Almost surely, 215066064 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 15066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881796).

15066064 is an abundant number, since it is smaller than the sum of its proper divisors (16697528).

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

15066064 is a wasteful number, since it uses less digits than its factorization.

15066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 15066064 is about 3881.5028017509. The cubic root of 15066064 is about 246.9827390452.

The spelling of 15066064 in words is "fifteen million, sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 113 208 226 452 641 904 1282 1469 1808 2564 2938 5128 5876 8333 10256 11752 16666 23504 33332 66664 72433 133328 144866 289732 579464 941629 1158928 1883258 3766516 7533032 15066064