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116975232 = 27331117181
BaseRepresentation
bin1101111100011…
…10011010000000
322011002221212000
412332032122000
5214421201412
615335104000
72620162443
oct676163200
9264087760
10116975232
1160036250
1233212000
131b30821a
141176d65a
15a4094dc
hex6f8e680

116975232 has 256 divisors, whose sum is σ = 400982400. Its totient is φ = 33177600.

The previous prime is 116975231. The next prime is 116975237. The reversal of 116975232 is 232579611.

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 (116975231) 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 31 ways as a sum of consecutive naturals, for example, 646182 + ... + 646362.

Almost surely, 2116975232 is an apocalyptic number.

116975232 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 116975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

116975232 is an abundant number, since it is smaller than the sum of its proper divisors (284007168).

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

116975232 is a wasteful number, since it uses less digits than its factorization.

116975232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 116975232 is about 10815.5088645889. The cubic root of 116975232 is about 489.0628095014.

The spelling of 116975232 in words is "one hundred sixteen million, nine hundred seventy-five thousand, two hundred thirty-two".