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5660064 = 25336551
BaseRepresentation
bin10101100101110110100000
3101122120011000
4111211312200
52422110224
6321152000
766052434
oct25456640
911576130
105660064
113216543
121a8b600
131232367
14a749c4
1576c0c9
hex565da0

5660064 has 48 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1886400.

The previous prime is 5660059. The next prime is 5660071. The reversal of 5660064 is 4600665.

5660064 is a `hidden beast` number, since 56 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2412 + ... + 4139.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 25660064 is an apocalyptic number.

5660064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5660064 is an abundant number, since it is smaller than the sum of its proper divisors (10850976).

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

5660064 is a wasteful number, since it uses less digits than its factorization.

5660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5660064 is about 2379.0889012393. The cubic root of 5660064 is about 178.2134375247.

The spelling of 5660064 in words is "five million, six hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 6551 13102 19653 26204 39306 52408 58959 78612 104816 117918 157224 176877 209632 235836 314448 353754 471672 628896 707508 943344 1415016 1886688 2830032 5660064