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115338496 = 287134951
BaseRepresentation
bin1101101111111…
…10110100000000
322001000210200011
412313332310000
5214011312441
615240034304
72600234560
oct667766400
9261023604
10115338496
115a118579
1232762994
131ab84240
1411464da0
15a1d4581
hex6dfed00

115338496 has 72 divisors (see below), whose sum is σ = 283412864. Its totient is φ = 45619200.

The previous prime is 115338469. The next prime is 115338527. The reversal of 115338496 is 694833511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20821 + ... + 25771.

Almost surely, 2115338496 is an apocalyptic number.

115338496 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 115338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141706432).

115338496 is an abundant number, since it is smaller than the sum of its proper divisors (168074368).

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

115338496 is an equidigital number, since it uses as much as digits as its factorization.

115338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4973 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 115338496 is about 10739.5761555100. The cubic root of 115338496 is about 486.7710724479.

The spelling of 115338496 in words is "one hundred fifteen million, three hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 4951 5824 9902 11648 19804 23296 34657 39608 64363 69314 79216 128726 138628 158432 257452 277256 316864 450541 514904 554512 633728 901082 1029808 1109024 1267456 1802164 2059616 2218048 3604328 4119232 4436096 7208656 8238464 8872192 14417312 16476928 28834624 57669248 115338496