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115165960 = 235713291091
BaseRepresentation
bin1101101110101…
…00101100001000
322000201000222221
412313110230020
5213440302320
615232223424
72565615550
oct667245410
9260630887
10115165960
115a00a988
123269ab74
131ab23850
141141c160
15a19d3aa
hex6dd4b08

115165960 has 128 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 35159040.

The previous prime is 115165951. The next prime is 115165969. The reversal of 115165960 is 69561511.

It is an interprime number because it is at equal distance from previous prime (115165951) and next prime (115165969).

It is not an unprimeable number, because it can be changed into a prime (115165969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105015 + ... + 106105.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2115165960 is an apocalyptic number.

115165960 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 115165960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

115165960 is an abundant number, since it is smaller than the sum of its proper divisors (215054840).

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

115165960 is a wasteful number, since it uses less digits than its factorization.

115165960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The square root of 115165960 is about 10731.5404299662. The cubic root of 115165960 is about 486.5282294256.

The spelling of 115165960 in words is "one hundred fifteen million, one hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 29 35 40 52 56 58 65 70 91 104 116 130 140 145 182 203 232 260 280 290 364 377 406 455 520 580 728 754 812 910 1015 1091 1160 1508 1624 1820 1885 2030 2182 2639 3016 3640 3770 4060 4364 5278 5455 7540 7637 8120 8728 10556 10910 13195 14183 15080 15274 21112 21820 26390 28366 30548 31639 38185 43640 52780 56732 61096 63278 70915 76370 99281 105560 113464 126556 141830 152740 158195 198562 221473 253112 283660 305480 316390 397124 411307 442946 496405 567320 632780 794248 822614 885892 992810 1107365 1265560 1645228 1771784 1985620 2056535 2214730 2879149 3290456 3971240 4113070 4429460 5758298 8226140 8858920 11516596 14395745 16452280 23033192 28791490 57582980 115165960