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115157560 = 23573113267
BaseRepresentation
bin1101101110100…
…10101000111000
322000200121110211
412313102220320
5213440020220
615232120504
72565552220
oct667225070
9260617424
10115157560
115a004641
1232696134
131ab1ca8b
1411419080
15a19ab5a
hex6dd2a38

115157560 has 64 divisors (see below), whose sum is σ = 305694720. Its totient is φ = 38206080.

The previous prime is 115157501. The next prime is 115157563. The reversal of 115157560 is 65751511.

It is a super-4 number, since 4×1151575604 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115157563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2047 + ... + 15313.

It is an arithmetic number, because the mean of its divisors is an integer number (4776480).

Almost surely, 2115157560 is an apocalyptic number.

115157560 is a gapful number since it is divisible by the number (10) 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 115157560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152847360).

115157560 is an abundant number, since it is smaller than the sum of its proper divisors (190537160).

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

115157560 is a wasteful number, since it uses less digits than its factorization.

115157560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316 (or 13312 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 31.

The square root of 115157560 is about 10731.1490531070. The cubic root of 115157560 is about 486.5164003038.

The spelling of 115157560 in words is "one hundred fifteen million, one hundred fifty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 13267 26534 53068 66335 92869 106136 132670 185738 265340 371476 411277 464345 530680 742952 822554 928690 1645108 1857380 2056385 2878939 3290216 3714760 4112770 5757878 8225540 11515756 14394695 16451080 23031512 28789390 57578780 115157560