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116596480 = 2857211132
BaseRepresentation
bin1101111001100…
…01111100000000
322010101201022011
412330301330000
5214322041410
615323022304
72614024300
oct674617400
9263351264
10116596480
115a8a7730
123306a994
131b204a00
14116b1600
15a38218a
hex6f31f00

116596480 has 324 divisors, whose sum is σ = 383777352. Its totient is φ = 33546240.

The previous prime is 116596477. The next prime is 116596481. The reversal of 116596480 is 84695611.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116596481) 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, 8968954 + ... + 8968966.

It is an arithmetic number, because the mean of its divisors is an integer number (1184498).

Almost surely, 2116596480 is an apocalyptic number.

116596480 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 116596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191888676).

116596480 is an abundant number, since it is smaller than the sum of its proper divisors (267180872).

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

116596480 is a wasteful number, since it uses less digits than its factorization.

116596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 116596480 is about 10797.9849972113. The cubic root of 116596480 is about 488.5343962186.

The spelling of 116596480 in words is "one hundred sixteen million, five hundred ninety-six thousand, four hundred eighty".