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102305664 = 273288807
BaseRepresentation
bin1100001100100…
…00111110000000
321010111122222200
412012100332000
5202142240124
614052433200
72351404146
oct606207600
9233448880
10102305664
115282683a
122a318800
13182700c6
14d831596
158eacbc9
hex6190f80

102305664 has 48 divisors (see below), whose sum is σ = 294398520. Its totient is φ = 34101504.

The previous prime is 102305653. The next prime is 102305669. The reversal of 102305664 is 466503201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102305669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43252 + ... + 45555.

Almost surely, 2102305664 is an apocalyptic number.

It is an amenable number.

102305664 is an abundant number, since it is smaller than the sum of its proper divisors (192092856).

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

102305664 is an equidigital number, since it uses as much as digits as its factorization.

102305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88827 (or 88812 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 102305664 is about 10114.6262412409. The cubic root of 102305664 is about 467.6991272356.

Adding to 102305664 its reverse (466503201), we get a palindrome (568808865).

The spelling of 102305664 in words is "one hundred two million, three hundred 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 88807 177614 266421 355228 532842 710456 799263 1065684 1420912 1598526 2131368 2841824 3197052 4262736 5683648 6394104 8525472 11367296 12788208 17050944 25576416 34101888 51152832 102305664