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20264064 = 273113467
BaseRepresentation
bin100110101001…
…1010010000000
31102010112001220
41031103102000
520141422224
62002155040
7334145622
oct115232200
942115056
1020264064
1110490767
126952a80
134276692
142996c12
151ba4279
hex1353480

20264064 has 64 divisors (see below), whose sum is σ = 54419040. Its totient is φ = 6680576.

The previous prime is 20264047. The next prime is 20264077. The reversal of 20264064 is 46046202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43159 + ... + 43625.

Almost surely, 220264064 is an apocalyptic number.

20264064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

20264064 is an abundant number, since it is smaller than the sum of its proper divisors (34154976).

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

20264064 is a wasteful number, since it uses less digits than its factorization.

20264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20264064 is about 4501.5623954356. The cubic root of 20264064 is about 272.6311755172.

The spelling of 20264064 in words is "twenty million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 467 678 904 934 1356 1401 1808 1868 2712 2802 3616 3736 5424 5604 7232 7472 10848 11208 14464 14944 21696 22416 29888 43392 44832 52771 59776 89664 105542 158313 179328 211084 316626 422168 633252 844336 1266504 1688672 2533008 3377344 5066016 6754688 10132032 20264064