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115871320 = 23517832053
BaseRepresentation
bin1101110100000…
…00111001011000
322002000212120101
412322000321120
5214130340240
615255305144
72604614155
oct672007130
9262025511
10115871320
115a451924
123297b1b4
131b00c916
141156322c
15a28c39a
hex6e80e58

115871320 has 64 divisors (see below), whose sum is σ = 279508320. Its totient is φ = 43075584.

The previous prime is 115871299. The next prime is 115871323. The reversal of 115871320 is 23178511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115871323) 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, 55414 + ... + 57466.

Almost surely, 2115871320 is an apocalyptic number.

115871320 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 115871320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139754160).

115871320 is an abundant number, since it is smaller than the sum of its proper divisors (163637000).

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

115871320 is a wasteful number, since it uses less digits than its factorization.

115871320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 115871320 is about 10764.3541376155. The cubic root of 115871320 is about 487.5194925364.

The spelling of 115871320 in words is "one hundred fifteen million, eight hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 83 85 136 166 170 332 340 415 664 680 830 1411 1660 2053 2822 3320 4106 5644 7055 8212 10265 11288 14110 16424 20530 28220 34901 41060 56440 69802 82120 139604 170399 174505 279208 340798 349010 681596 698020 851995 1363192 1396040 1703990 2896783 3407980 5793566 6815960 11587132 14483915 23174264 28967830 57935660 115871320