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5368064 = 28131613
BaseRepresentation
bin10100011110100100000000
3101002201121012
4110132210000
52333234224
6311020052
763425222
oct24364400
911081535
105368064
113037119
12196a628
13115c490
149da412
1571080e
hex51e900

5368064 has 36 divisors (see below), whose sum is σ = 11546556. Its totient is φ = 2476032.

The previous prime is 5368063. The next prime is 5368067. The reversal of 5368064 is 4608635.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 3385600 = 1408^2 + 1840^2 .

It is a super-2 number, since 2×53680642 = 57632222216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5368064.

It is not an unprimeable number, because it can be changed into a prime (5368063) 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, 2522 + ... + 4134.

Almost surely, 25368064 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 5368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773278).

5368064 is an abundant number, since it is smaller than the sum of its proper divisors (6178492).

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

5368064 is a wasteful number, since it uses less digits than its factorization.

5368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5368064 is about 2316.9082847623. The cubic root of 5368064 is about 175.0945230855.

The spelling of 5368064 in words is "five million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1613 1664 3226 3328 6452 12904 20969 25808 41938 51616 83876 103232 167752 206464 335504 412928 671008 1342016 2684032 5368064