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15004013 = 172193269
BaseRepresentation
bin111001001111…
…000101101101
31001020021122012
4321033011231
512320112023
61253331005
7241350323
oct71170555
931207565
1015004013
118518812
125036a65
13315441b
141dc7d13
1514b5978
hexe4f16d

15004013 has 12 divisors (see below), whose sum is σ = 16080660. Its totient is φ = 13996032.

The previous prime is 15004009. The next prime is 15004021. The reversal of 15004013 is 31040051.

It can be written as a sum of positive squares in 6 ways, for example, as 158404 + 14845609 = 398^2 + 3853^2 .

It is not a de Polignac number, because 15004013 - 22 = 15004009 is a prime.

It is a super-2 number, since 2×150040132 = 450240812208338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15004043) 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, 55643 + ... + 55911.

It is an arithmetic number, because the mean of its divisors is an integer number (1340055).

Almost surely, 215004013 is an apocalyptic number.

It is an amenable number.

15004013 is a deficient number, since it is larger than the sum of its proper divisors (1076647).

15004013 is a wasteful number, since it uses less digits than its factorization.

15004013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 15004013 is about 3873.5013876337. The cubic root of 15004013 is about 246.6431986033.

Adding to 15004013 its reverse (31040051), we get a palindrome (46044064).

The spelling of 15004013 in words is "fifteen million, four thousand, thirteen".

Divisors: 1 17 193 269 289 3281 4573 51917 55777 77741 882589 15004013