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115086960 = 2433553281
BaseRepresentation
bin1101101110000…
…01011001110000
322000120000122000
412313001121300
5213430240320
615230414000
72565136332
oct667013160
9260500560
10115086960
1159a6659a
1232661300
131aac68c1
14113db452
15a184c90
hex6dc1670

115086960 has 80 divisors (see below), whose sum is σ = 396418080. Its totient is φ = 30689280.

The previous prime is 115086949. The next prime is 115086967. The reversal of 115086960 is 69680511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115086967) 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 15 ways as a sum of consecutive naturals, for example, 24481 + ... + 28800.

It is an arithmetic number, because the mean of its divisors is an integer number (4955226).

Almost surely, 2115086960 is an apocalyptic number.

115086960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115086960 is an abundant number, since it is smaller than the sum of its proper divisors (281331120).

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

115086960 is a wasteful number, since it uses less digits than its factorization.

115086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53303 (or 53291 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 115086960 is about 10727.8590594769. The cubic root of 115086960 is about 486.4169566096.

The spelling of 115086960 in words is "one hundred fifteen million, eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 53281 106562 159843 213124 266405 319686 426248 479529 532810 639372 799215 852496 959058 1065620 1278744 1438587 1598430 1918116 2131240 2397645 2557488 2877174 3196860 3836232 4262480 4795290 5754348 6393720 7192935 7672464 9590580 11508696 12787440 14385870 19181160 23017392 28771740 38362320 57543480 115086960