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115630736 = 24131753617
BaseRepresentation
bin1101110010001…
…10001010010000
322001120122112212
412321012022100
5214100140421
615250211252
72602562564
oct671061220
9261518485
10115630736
115a2a80a1
1232883b28
131ac57270
14114dd6a4
15a240e5b
hex6e46290

115630736 has 80 divisors (see below), whose sum is σ = 260702064. Its totient is φ = 49201152.

The previous prime is 115630721. The next prime is 115630747. The reversal of 115630736 is 637036511.

It can be written as a sum of positive squares in 8 ways, for example, as 6553600 + 109077136 = 2560^2 + 10444^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187100 + ... + 187716.

Almost surely, 2115630736 is an apocalyptic number.

115630736 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 115630736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130351032).

115630736 is an abundant number, since it is smaller than the sum of its proper divisors (145071328).

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

115630736 is a wasteful number, since it uses less digits than its factorization.

115630736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 115630736 is about 10753.1732990778. The cubic root of 115630736 is about 487.1818459716.

The spelling of 115630736 in words is "one hundred fifteen million, six hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 53 68 104 106 136 208 212 221 272 424 442 617 689 848 884 901 1234 1378 1768 1802 2468 2756 3536 3604 4936 5512 7208 8021 9872 10489 11024 11713 14416 16042 20978 23426 32084 32701 41956 46852 64168 65402 83912 93704 128336 130804 136357 167824 187408 261608 272714 425113 523216 545428 555917 850226 1090856 1111834 1700452 2181712 2223668 3400904 4447336 6801808 7226921 8894672 14453842 28907684 57815368 115630736