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115414992 = 243272111487
BaseRepresentation
bin1101110000100…
…01011111010000
322001011200121100
412320101133100
5214021234432
615241424400
72601003600
oct670213720
9261150540
10115414992
115a16aaa0
123279b100
131abaccc4
1411484c00
15a1ec07c
hex6e117d0

115414992 has 180 divisors, whose sum is σ = 410170176. Its totient is φ = 29957760.

The previous prime is 115414991. The next prime is 115414993. The reversal of 115414992 is 299414511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115414991) and next prime (115414993).

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 (115414991) 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 35 ways as a sum of consecutive naturals, for example, 76873 + ... + 78359.

Almost surely, 2115414992 is an apocalyptic number.

115414992 is a gapful number since it is divisible by the number (12) 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 115414992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205085088).

115414992 is an abundant number, since it is smaller than the sum of its proper divisors (294755184).

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

115414992 is a wasteful number, since it uses less digits than its factorization.

115414992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1510 counting only the distinct ones).

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

The square root of 115414992 is about 10743.1369720394. The cubic root of 115414992 is about 486.8786624612.

The spelling of 115414992 in words is "one hundred fifteen million, four hundred fourteen thousand, nine hundred ninety-two".