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116940096 = 26327132397
BaseRepresentation
bin1101111100001…
…01110101000000
322011001011122200
412332011311000
5214414040341
615334233200
72616655140
oct676056500
9264034580
10116940096
1160011909
12331b5800
131b2c5230
1411760920
15a3eddb6
hex6f85d40

116940096 has 336 divisors, whose sum is σ = 434913024. Its totient is φ = 29196288.

The previous prime is 116940067. The next prime is 116940097. The reversal of 116940096 is 690049611.

116940096 is a `hidden beast` number, since 1 + 169 + 400 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116940096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116940097) 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 47 ways as a sum of consecutive naturals, for example, 1205520 + ... + 1205616.

It is an arithmetic number, because the mean of its divisors is an integer number (1294384).

Almost surely, 2116940096 is an apocalyptic number.

116940096 is a gapful number since it is divisible by the number (16) 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 116940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217456512).

116940096 is an abundant number, since it is smaller than the sum of its proper divisors (317972928).

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

116940096 is a wasteful number, since it uses less digits than its factorization.

116940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 116940096 is about 10813.8844084815. The cubic root of 116940096 is about 489.0138377908.

The spelling of 116940096 in words is "one hundred sixteen million, nine hundred forty thousand, ninety-six".