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20675264 = 261731613
BaseRepresentation
bin100111011011…
…1101011000000
31102220102010112
41032313223000
520243102024
62015050452
7340510511
oct116675300
942812115
1020675264
11107416a5
126b10a28
13438b8ac
142a62a08
151c3600e
hex13b7ac0

20675264 has 56 divisors (see below), whose sum is σ = 44915328. Its totient is φ = 9400320.

The previous prime is 20675261. The next prime is 20675273. The reversal of 20675264 is 46257602.

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 20675264.

It is not an unprimeable number, because it can be changed into a prime (20675261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33422 + ... + 34034.

Almost surely, 220675264 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 20675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22457664).

20675264 is an abundant number, since it is smaller than the sum of its proper divisors (24240064).

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

20675264 is a wasteful number, since it uses less digits than its factorization.

20675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 20675264 is about 4547.0060479397. The cubic root of 20675264 is about 274.4629253304.

The spelling of 20675264 in words is "twenty million, six hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 613 992 1054 1088 1226 1984 2108 2452 4216 4904 8432 9808 10421 16864 19003 19616 20842 33728 38006 39232 41684 76012 83368 152024 166736 304048 323051 333472 608096 646102 666944 1216192 1292204 2584408 5168816 10337632 20675264