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108079664 = 24711372371
BaseRepresentation
bin1100111000100…
…10101000110000
321112101000102112
412130102220300
5210132022124
614420304452
72451443030
oct634225060
9245330375
10108079664
115600a940
1230242128
1319512284
14104d58c0
15974d90e
hex6712a30

108079664 has 80 divisors (see below), whose sum is σ = 268244736. Its totient is φ = 40953600.

The previous prime is 108079603. The next prime is 108079669. The reversal of 108079664 is 466970801.

It is not an unprimeable number, because it can be changed into a prime (108079669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44399 + ... + 46769.

Almost surely, 2108079664 is an apocalyptic number.

108079664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108079664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134122368).

108079664 is an abundant number, since it is smaller than the sum of its proper divisors (160165072).

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

108079664 is a wasteful number, since it uses less digits than its factorization.

108079664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 108079664 is about 10396.1369748575. The cubic root of 108079664 is about 476.3373782172.

The spelling of 108079664 in words is "one hundred eight million, seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 296 308 407 518 592 616 814 1036 1232 1628 2072 2371 2849 3256 4144 4742 5698 6512 9484 11396 16597 18968 22792 26081 33194 37936 45584 52162 66388 87727 104324 132776 175454 182567 208648 265552 350908 365134 417296 614089 701816 730268 964997 1228178 1403632 1460536 1929994 2456356 2921072 3859988 4912712 6754979 7719976 9825424 13509958 15439952 27019916 54039832 108079664