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116879112 = 233672409
BaseRepresentation
bin1101111011101…
…10111100001000
322010221002000000
412331312330020
5214410112422
615333043000
72616312300
oct675667410
9263832000
10116879112
115aa80009
1233186460
131b2a354c
1411746600
15a3dacac
hex6f76f08

116879112 has 168 divisors, whose sum is σ = 383151150. Its totient is φ = 33312384.

The previous prime is 116879093. The next prime is 116879137. The reversal of 116879112 is 211978611.

It can be written as a sum of positive squares in only one way, i.e., 75585636 + 41293476 = 8694^2 + 6426^2 .

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285564 + ... + 285972.

Almost surely, 2116879112 is an apocalyptic number.

116879112 is a gapful number since it is divisible by the number (12) 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 116879112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191575575).

116879112 is an abundant number, since it is smaller than the sum of its proper divisors (266272038).

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

116879112 is an equidigital number, since it uses as much as digits as its factorization.

116879112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 116879112 is about 10811.0643324328. The cubic root of 116879112 is about 488.9288164666.

The spelling of 116879112 in words is "one hundred sixteen million, eight hundred seventy-nine thousand, one hundred twelve".