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116370432 = 210342361
BaseRepresentation
bin1101110111110…
…10110000000000
322002222020020000
412323322300000
5214242323212
615314120000
72612063253
oct673726000
9262866200
10116370432
115a762912
1232b80000
131b155b59
141165309a
15a33a1dc
hex6efac00

116370432 has 220 divisors, whose sum is σ = 368558256. Its totient is φ = 36495360.

The previous prime is 116370413. The next prime is 116370433. The reversal of 116370432 is 234073611.

116370432 is a `hidden beast` number, since 1 + 163 + 70 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116370396 and 116370405.

It is not an unprimeable number, because it can be changed into a prime (116370433) 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 19 ways as a sum of consecutive naturals, for example, 1907682 + ... + 1907742.

Almost surely, 2116370432 is an apocalyptic number.

116370432 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 116370432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184279128).

116370432 is an abundant number, since it is smaller than the sum of its proper divisors (252187824).

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

116370432 is an equidigital number, since it uses as much as digits as its factorization.

116370432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 116370432 is about 10787.5127809890. The cubic root of 116370432 is about 488.2184814045.

The spelling of 116370432 in words is "one hundred sixteen million, three hundred seventy thousand, four hundred thirty-two".