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115363768 = 231317232837
BaseRepresentation
bin1101110000001…
…00111110111000
322001002002100011
412320010332320
5214013120033
615240351304
72600401342
oct670047670
9261062304
10115363768
115a135563
1232775534
131ab928b0
1411470292
15a1dbccd
hex6e04fb8

115363768 has 64 divisors (see below), whose sum is σ = 257463360. Its totient is φ = 47917056.

The previous prime is 115363693. The next prime is 115363771. The reversal of 115363768 is 867363511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 115363768.

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, 39246 + ... + 42082.

It is an arithmetic number, because the mean of its divisors is an integer number (4022865).

Almost surely, 2115363768 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 115363768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128731680).

115363768 is an abundant number, since it is smaller than the sum of its proper divisors (142099592).

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

115363768 is a wasteful number, since it uses less digits than its factorization.

115363768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2892 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 115363768 is about 10740.7526738120. The cubic root of 115363768 is about 486.8066222443.

The spelling of 115363768 in words is "one hundred fifteen million, three hundred sixty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 884 1196 1564 1768 2392 2837 3128 5083 5674 10166 11348 20332 22696 36881 40664 48229 65251 73762 96458 130502 147524 192916 261004 295048 385832 522008 626977 848263 1109267 1253954 1696526 2218534 2507908 3393052 4437068 5015816 6786104 8874136 14420471 28840942 57681884 115363768