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10664568 = 233397509
BaseRepresentation
bin101000101011…
…101001111000
3202001211001000
4220223221320
510212231233
61020325000
7156435015
oct50535170
922054030
1010664568
1160244a2
1236a3760
1322951c5
1415b870c
15e09d13
hexa2ba78

10664568 has 64 divisors (see below), whose sum is σ = 29988000. Its totient is φ = 3511296.

The previous prime is 10664561. The next prime is 10664581. The reversal of 10664568 is 86546601.

10664568 is a `hidden beast` number, since 1 + 0 + 6 + 645 + 6 + 8 = 666.

10664568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106645682 = 227466021253248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20698 + ... + 21206.

Almost surely, 210664568 is an apocalyptic number.

10664568 is a gapful number since it is divisible by the number (18) 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 10664568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994000).

10664568 is an abundant number, since it is smaller than the sum of its proper divisors (19323432).

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

10664568 is a wasteful number, since it uses less digits than its factorization.

10664568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 10664568 is about 3265.6650165012. The cubic root of 10664568 is about 220.1140455530.

The spelling of 10664568 in words is "ten million, six hundred sixty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 509 582 776 873 1018 1164 1527 1746 2036 2328 2619 3054 3492 4072 4581 5238 6108 6984 9162 10476 12216 13743 18324 20952 27486 36648 49373 54972 98746 109944 148119 197492 296238 394984 444357 592476 888714 1184952 1333071 1777428 2666142 3554856 5332284 10664568