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116488080 = 243251731307
BaseRepresentation
bin1101111000101…
…11011110010000
322010012012121100
412330113132100
5214310104310
615320424400
72613063252
oct674273620
9263165540
10116488080
115a833245
1233018100
131b197577
1411683cd2
15a35eec0
hex6f17790

116488080 has 240 divisors, whose sum is σ = 428972544. Its totient is φ = 28200960.

The previous prime is 116488061. The next prime is 116488087. The reversal of 116488080 is 80884611.

116488080 is a `hidden beast` number, since 1 + 1 + 648 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (116488087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379287 + ... + 379593.

Almost surely, 2116488080 is an apocalyptic number.

116488080 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 116488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

116488080 is an abundant number, since it is smaller than the sum of its proper divisors (312484464).

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

116488080 is a wasteful number, since it uses less digits than its factorization.

116488080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 116488080 is about 10792.9643749991. The cubic root of 116488080 is about 488.3829521142.

The spelling of 116488080 in words is "one hundred sixteen million, four hundred eighty-eight thousand, eighty".