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115344896 = 291971167
BaseRepresentation
bin1101110000000…
…00011000000000
322001001010110012
412320000120000
5214012014041
615240124052
72600262332
oct670003000
9261033405
10115344896
115a122367
1232766628
131ab87124
1411467452
15a1d63eb
hex6e00600

115344896 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 53544960.

The previous prime is 115344883. The next prime is 115344937. The reversal of 115344896 is 698443511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690605 + ... + 690771.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2115344896 is an apocalyptic number.

115344896 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 115344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

115344896 is an abundant number, since it is smaller than the sum of its proper divisors (132139264).

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

115344896 is an equidigital number, since it uses as much as digits as its factorization.

115344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 115344896 is about 10739.8741147185. The cubic root of 115344896 is about 486.7800757363.

The spelling of 115344896 in words is "one hundred fifteen million, three hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 167 256 284 304 334 512 568 608 668 1136 1216 1336 1349 2272 2432 2672 2698 3173 4544 4864 5344 5396 6346 9088 9728 10688 10792 11857 12692 18176 21376 21584 23714 25384 36352 42752 43168 47428 50768 85504 86336 94856 101536 172672 189712 203072 225283 345344 379424 406144 450566 690688 758848 812288 901132 1517696 1624576 1802264 3035392 3604528 6070784 7209056 14418112 28836224 57672448 115344896