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10655664 = 243733041
BaseRepresentation
bin101000101001…
…011110110000
3202001100211020
4220221132300
510211440124
61020215440
7156400035
oct50513660
922040736
1010655664
116018838
12369a580
132291136
1415b538c
15e07379
hexa297b0

10655664 has 40 divisors (see below), whose sum is σ = 27913392. Its totient is φ = 3502080.

The previous prime is 10655653. The next prime is 10655669. The reversal of 10655664 is 46655601.

It is a super-2 number, since 2×106556642 = 227086350561792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10655669) by changing a digit.

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, 1984 + ... + 5024.

Almost surely, 210655664 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 10655664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13956696).

10655664 is an abundant number, since it is smaller than the sum of its proper divisors (17257728).

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

10655664 is a wasteful number, since it uses less digits than its factorization.

10655664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 10655664 is about 3264.3014566673. The cubic root of 10655664 is about 220.0527697107.

The spelling of 10655664 in words is "ten million, six hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3041 3504 6082 9123 12164 18246 24328 36492 48656 72984 145968 221993 443986 665979 887972 1331958 1775944 2663916 3551888 5327832 10655664