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116096640 = 27351123239
BaseRepresentation
bin1101110101101…
…11111010000000
322002110022122120
412322313322000
5214210043030
615304204240
72606543112
oct672677200
9262408576
10116096640
115a596140
1232a69680
131b08b34a
14115c13b2
15a2d4010
hex6eb7e80

116096640 has 256 divisors, whose sum is σ = 423014400. Its totient is φ = 26808320.

The previous prime is 116096609. The next prime is 116096647. The reversal of 116096640 is 46690611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (116096647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485641 + ... + 485879.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2116096640 is an apocalyptic number.

116096640 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 116096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

116096640 is an abundant number, since it is smaller than the sum of its proper divisors (306917760).

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

116096640 is a wasteful number, since it uses less digits than its factorization.

116096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 116096640 is about 10774.8150796197. The cubic root of 116096640 is about 487.8352933360.

The spelling of 116096640 in words is "one hundred sixteen million, ninety-six thousand, six hundred forty".