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10145664 = 27328807
BaseRepresentation
bin100110101100…
…111110000000
3201002110020100
4212230332000
510044130124
61001242400
7152144124
oct46547600
921073210
1010145664
1157aa651
123493400
132142c69
1414c1584
15d561c9
hex9acf80

10145664 has 48 divisors (see below), whose sum is σ = 29198520. Its totient is φ = 3381504.

The previous prime is 10145657. The next prime is 10145683. The reversal of 10145664 is 46654101.

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

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 5 ways as a sum of consecutive naturals, for example, 3252 + ... + 5555.

Almost surely, 210145664 is an apocalyptic number.

It is an amenable number.

10145664 is an abundant number, since it is smaller than the sum of its proper divisors (19052856).

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

10145664 is an equidigital number, since it uses as much as digits as its factorization.

10145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10145664 is about 3185.2258946580. The cubic root of 10145664 is about 216.4845090940.

Adding to 10145664 its reverse (46654101), we get a palindrome (56799765).

The spelling of 10145664 in words is "ten million, one hundred forty-five thousand, six hundred 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 8807 17614 26421 35228 52842 70456 79263 105684 140912 158526 211368 281824 317052 422736 563648 634104 845472 1127296 1268208 1690944 2536416 3381888 5072832 10145664