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108896064 = 263599613
BaseRepresentation
bin1100111110110…
…01111101000000
321120220111022120
412133121331000
5210334133224
614450004240
72461413144
oct637317500
9246814276
10108896064
1156518252
1230576680
1319739a54
1410669224
159860779
hex67d9f40

108896064 has 56 divisors (see below), whose sum is σ = 293034720. Its totient is φ = 35679744.

The previous prime is 108896059. The next prime is 108896077. The reversal of 108896064 is 460698801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6522 + ... + 16134.

Almost surely, 2108896064 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 108896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146517360).

108896064 is an abundant number, since it is smaller than the sum of its proper divisors (184138656).

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

108896064 is an equidigital number, since it uses as much as digits as its factorization.

108896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 108896064 is about 10435.3276901111. The cubic root of 108896064 is about 477.5337388329.

The spelling of 108896064 in words is "one hundred eight million, eight hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 9613 11328 19226 28839 38452 57678 76904 115356 153808 230712 307616 461424 567167 615232 922848 1134334 1701501 1845696 2268668 3403002 4537336 6806004 9074672 13612008 18149344 27224016 36298688 54448032 108896064