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10664064 = 27329257
BaseRepresentation
bin101000101011…
…100010000000
3202001210100100
4220223202000
510212222224
61020322400
7156433365
oct50534200
922053310
1010664064
116024084
1236a3400
132294bc8
1415b846c
15e09ac9
hexa2b880

10664064 has 48 divisors (see below), whose sum is σ = 30690270. Its totient is φ = 3554304.

The previous prime is 10664057. The next prime is 10664099. The reversal of 10664064 is 46046601.

10664064 is a `hidden beast` number, since 10 + 6 + 640 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 166464 = 3240^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106640642 = 227444521992192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3477 + ... + 5780.

Almost surely, 210664064 is an apocalyptic number.

It is an amenable number.

10664064 is an abundant number, since it is smaller than the sum of its proper divisors (20026206).

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

10664064 is an equidigital number, since it uses as much as digits as its factorization.

10664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10664064 is about 3265.5878490710. The cubic root of 10664064 is about 220.1105780200.

It can be divided in two parts, 1066406 and 4, that multiplied together give a palindrome (4265624).

The spelling of 10664064 in words is "ten million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9257 18514 27771 37028 55542 74056 83313 111084 148112 166626 222168 296224 333252 444336 592448 666504 888672 1184896 1333008 1777344 2666016 3554688 5332032 10664064