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115344096 = 2537374639
BaseRepresentation
bin1101110000000…
…00001011100000
322001001002100120
412320000023200
5214012002341
615240120240
72600260110
oct670001340
9261032316
10115344096
115a1217aa
1232766080
131ab8695a
1411467040
15a1d6066
hex6e002e0

115344096 has 96 divisors (see below), whose sum is σ = 355461120. Its totient is φ = 32057856.

The previous prime is 115344083. The next prime is 115344101. The reversal of 115344096 is 690443511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22545 + ... + 27183.

It is an arithmetic number, because the mean of its divisors is an integer number (3702720).

Almost surely, 2115344096 is an apocalyptic number.

115344096 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 115344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177730560).

115344096 is an abundant number, since it is smaller than the sum of its proper divisors (240117024).

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

115344096 is a wasteful number, since it uses less digits than its factorization.

115344096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 115344096 is about 10739.8368702695. The cubic root of 115344096 is about 486.7789503435.

The spelling of 115344096 in words is "one hundred fifteen million, three hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 4639 6216 8288 9278 12432 13917 18556 24864 27834 32473 37112 55668 64946 74224 97419 111336 129892 148448 171643 194838 222672 259784 343286 389676 445344 514929 519568 686572 779352 1029858 1039136 1201501 1373144 1558704 2059716 2403002 2746288 3117408 3604503 4119432 4806004 5492576 7209006 8238864 9612008 14418012 16477728 19224016 28836024 38448032 57672048 115344096