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115080680 = 235112133159
BaseRepresentation
bin1101101101111…
…11110111101000
322000112201000102
412312333313220
5213430040210
615230324532
72565112121
oct666776750
9260481012
10115080680
1159a61900
1232659748
131aac3aa0
14113d9048
15a182ea5
hex6dbfde8

115080680 has 192 divisors, whose sum is σ = 321753600. Its totient is φ = 36748800.

The previous prime is 115080673. The next prime is 115080683. The reversal of 115080680 is 86080511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115080683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1950491 + ... + 1950549.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2115080680 is an apocalyptic number.

115080680 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 115080680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

115080680 is an abundant number, since it is smaller than the sum of its proper divisors (206672920).

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

115080680 is a wasteful number, since it uses less digits than its factorization.

115080680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 115080680 is about 10727.5663596176. The cubic root of 115080680 is about 486.4081089404.

The spelling of 115080680 in words is "one hundred fifteen million, eighty thousand, six hundred eighty".