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15040064 = 261318077
BaseRepresentation
bin111001010111…
…111001000000
31001022010002102
4321113321000
512322240224
61254205532
7241560404
oct71277100
931263072
1015040064
118542906
1250538a8
133167960
141dd7104
1514c14ae
hexe57e40

15040064 has 28 divisors (see below), whose sum is σ = 32142684. Its totient is φ = 6941184.

The previous prime is 15040063. The next prime is 15040073. The reversal of 15040064 is 46004051.

It is a happy number.

15040064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9241600 + 5798464 = 3040^2 + 2408^2 .

It is not an unprimeable number, because it can be changed into a prime (15040061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8207 + ... + 9870.

It is an arithmetic number, because the mean of its divisors is an integer number (1147953).

Almost surely, 215040064 is an apocalyptic number.

It is an amenable number.

15040064 is an abundant number, since it is smaller than the sum of its proper divisors (17102620).

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

15040064 is a wasteful number, since it uses less digits than its factorization.

15040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18102 (or 18092 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 15040064 is about 3878.1521372943. The cubic root of 15040064 is about 246.8405818386.

The spelling of 15040064 in words is "fifteen million, forty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 18077 36154 72308 144616 235001 289232 470002 578464 940004 1156928 1880008 3760016 7520032 15040064