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115334496 = 25331311019
BaseRepresentation
bin1101101111111…
…01110101100000
322001000121012000
412313331311200
5214011200441
615240004000
72600220114
oct667756540
9261017160
10115334496
115a115572
1232760600
131ab82484
1411463744
15a1d32b6
hex6dfdd60

115334496 has 96 divisors (see below), whose sum is σ = 339292800. Its totient is φ = 38113920.

The previous prime is 115334473. The next prime is 115334501. The reversal of 115334496 is 694433511.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115334496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112675 + ... + 113693.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2115334496 is an apocalyptic number.

115334496 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 115334496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).

115334496 is an abundant number, since it is smaller than the sum of its proper divisors (223958304).

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

115334496 is a wasteful number, since it uses less digits than its factorization.

115334496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 115334496 is about 10739.3899268068. The cubic root of 115334496 is about 486.7654452235.

The spelling of 115334496 in words is "one hundred fifteen million, three hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 131 144 216 262 288 393 432 524 786 864 1019 1048 1179 1572 2038 2096 2358 3057 3144 3537 4076 4192 4716 6114 6288 7074 8152 9171 9432 12228 12576 14148 16304 18342 18864 24456 27513 28296 32608 36684 37728 48912 55026 56592 73368 97824 110052 113184 133489 146736 220104 266978 293472 400467 440208 533956 800934 880416 1067912 1201401 1601868 2135824 2402802 3203736 3604203 4271648 4805604 6407472 7208406 9611208 12814944 14416812 19222416 28833624 38444832 57667248 115334496