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115431520 = 2556111827
BaseRepresentation
bin1101110000101…
…01100001100000
322001012112021111
412320111201200
5214022302040
615242033104
72601103021
oct670254140
9261175244
10115431520
115a181456
12327a8794
131abb7699
141148ac48
15a201dea
hex6e15860

115431520 has 48 divisors (see below), whose sum is σ = 277201008. Its totient is φ = 45411840.

The previous prime is 115431499. The next prime is 115431521. The reversal of 115431520 is 25134511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 115431491 and 115431500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115431521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3847 + ... + 15673.

It is an arithmetic number, because the mean of its divisors is an integer number (5775021).

Almost surely, 2115431520 is an apocalyptic number.

115431520 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 115431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138600504).

115431520 is an abundant number, since it is smaller than the sum of its proper divisors (161769488).

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

115431520 is a wasteful number, since it uses less digits than its factorization.

115431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11903 (or 11895 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 115431520 is about 10743.9061797840. The cubic root of 115431520 is about 486.9019024993.

The spelling of 115431520 in words is "one hundred fifteen million, four hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 11827 23654 47308 59135 94616 118270 189232 236540 378464 473080 721447 946160 1442894 1892320 2885788 3607235 5771576 7214470 11543152 14428940 23086304 28857880 57715760 115431520