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108736096 = 2572312237
BaseRepresentation
bin1100111101100…
…10111001100000
321120121100212211
412132302321200
5210314023341
614442331504
72460145600
oct636627140
9246540784
10108736096
1156419047
12304b9b94
13196b1cb1
1410626c00
15982d181
hex67b2e60

108736096 has 72 divisors (see below), whose sum is σ = 257173056. Its totient is φ = 45077760.

The previous prime is 108736091. The next prime is 108736129. The reversal of 108736096 is 690637801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108736091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47490 + ... + 49726.

It is an arithmetic number, because the mean of its divisors is an integer number (3571848).

Almost surely, 2108736096 is an apocalyptic number.

108736096 is a gapful number since it is divisible by the number (16) 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 108736096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128586528).

108736096 is an abundant number, since it is smaller than the sum of its proper divisors (148436960).

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

108736096 is a wasteful number, since it uses less digits than its factorization.

108736096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 108736096 is about 10427.6601402232. The cubic root of 108736096 is about 477.2997923507.

The spelling of 108736096 in words is "one hundred eight million, seven hundred thirty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1519 1568 1736 2237 3038 3472 4474 6076 6944 8948 12152 15659 17896 24304 31318 35792 48608 62636 69347 71584 109613 125272 138694 219226 250544 277388 438452 485429 501088 554776 876904 970858 1109552 1753808 1941716 2219104 3398003 3507616 3883432 6796006 7766864 13592012 15533728 27184024 54368048 108736096