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10608064 = 26831997
BaseRepresentation
bin101000011101…
…110111000000
3201221221112021
4220131313000
510203424224
61015211224
7156111205
oct50356700
921857467
1010608064
115a95aa5
123676b14
13227557c
1415a1cac
15de81e4
hexa1ddc0

10608064 has 28 divisors (see below), whose sum is σ = 21314664. Its totient is φ = 5237504.

The previous prime is 10608029. The next prime is 10608079. The reversal of 10608064 is 46080601.

10608064 = 2222 + 2232 + ... + 3492.

It is a super-2 number, since 2×106080642 = 225062043656192, which contains 22 as substring.

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, 4314 + ... + 6310.

It is an arithmetic number, because the mean of its divisors is an integer number (761238).

Almost surely, 210608064 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 10608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657332).

10608064 is an abundant number, since it is smaller than the sum of its proper divisors (10706600).

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

10608064 is an equidigital number, since it uses as much as digits as its factorization.

10608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10608064 is about 3257.0023027318. The cubic root of 10608064 is about 219.7246141061.

Adding to 10608064 its reverse (46080601), we get a palindrome (56688665).

The spelling of 10608064 in words is "ten million, six hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 1997 2656 3994 5312 7988 15976 31952 63904 127808 165751 331502 663004 1326008 2652016 5304032 10608064