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115740 = 22325643
BaseRepresentation
bin11100010000011100
312212202200
4130100130
512200430
62251500
7661302
oct342034
9185680
10115740
1179a59
1256b90
13408b1
1430272
1524460
hex1c41c

115740 has 36 divisors (see below), whose sum is σ = 351624. Its totient is φ = 30816.

The previous prime is 115733. The next prime is 115741. The reversal of 115740 is 47511.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115741) by changing a digit.

115740 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 501.

2115740 is an apocalyptic number.

115740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115740 is an abundant number, since it is smaller than the sum of its proper divisors (235884).

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

115740 is a wasteful number, since it uses less digits than its factorization.

115740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 115740 is about 340.2058200560. The cubic root of 115740 is about 48.7335250049.

Subtracting from 115740 its product of nonzero digits (140), we obtain a square (115600 = 3402).

The spelling of 115740 in words is "one hundred fifteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 643 1286 1929 2572 3215 3858 5787 6430 7716 9645 11574 12860 19290 23148 28935 38580 57870 115740