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115406540 = 225171971723
BaseRepresentation
bin1101110000011…
…11011011001100
322001011021000022
412320033123030
5214021002130
615241321312
72600640134
oct670173314
9261137008
10115406540
115a164707
1232796238
131aba91c2
1411481ac4
15a1e97e5
hex6e0f6cc

115406540 has 48 divisors (see below), whose sum is σ = 258062112. Its totient is φ = 43201536.

The previous prime is 115406527. The next prime is 115406549. The reversal of 115406540 is 45604511.

It is not an unprimeable number, because it can be changed into a prime (115406549) 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, 66119 + ... + 67841.

It is an arithmetic number, because the mean of its divisors is an integer number (5376294).

Almost surely, 2115406540 is an apocalyptic number.

115406540 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 115406540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129031056).

115406540 is an abundant number, since it is smaller than the sum of its proper divisors (142655572).

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

115406540 is a wasteful number, since it uses less digits than its factorization.

115406540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 115406540 is about 10742.7435974243. The cubic root of 115406540 is about 486.8667772377.

The spelling of 115406540 in words is "one hundred fifteen million, four hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 340 394 788 985 1723 1970 3349 3446 3940 6698 6892 8615 13396 16745 17230 29291 33490 34460 58582 66980 117164 146455 292910 339431 585820 678862 1357724 1697155 3394310 5770327 6788620 11540654 23081308 28851635 57703270 115406540