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10664416 = 25747609
BaseRepresentation
bin101000101011…
…100111100000
3202001210211101
4220223213200
510212230131
61020324144
7156434410
oct50534740
922053741
1010664416
116024374
1236a3654
132295109
1415b8640
15e09c61
hexa2b9e0

10664416 has 24 divisors (see below), whose sum is σ = 23995440. Its totient is φ = 4570368.

The previous prime is 10664371. The next prime is 10664449. The reversal of 10664416 is 61446601.

It is a super-2 number, since 2×106644162 = 227459537242112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 23581 + ... + 24028.

It is an arithmetic number, because the mean of its divisors is an integer number (999810).

Almost surely, 210664416 is an apocalyptic number.

10664416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10664416 is an abundant number, since it is smaller than the sum of its proper divisors (13331024).

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

10664416 is an equidigital number, since it uses as much as digits as its factorization.

10664416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47626 (or 47618 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10664416 is about 3265.6417439762. The cubic root of 10664416 is about 220.1129998006.

The spelling of 10664416 in words is "ten million, six hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 47609 95218 190436 333263 380872 666526 761744 1333052 1523488 2666104 5332208 10664416