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116639856 = 243217293153
BaseRepresentation
bin1101111001111…
…00100001110000
322010110220210200
412330330201300
5214324433411
615323555200
72614264614
oct674744160
9263426720
10116639856
115a927283
123308bb00
131b21b688
14116c3344
15a38ee56
hex6f3c870

116639856 has 240 divisors, whose sum is σ = 376047360. Its totient is φ = 33546240.

The previous prime is 116639851. The next prime is 116639857. The reversal of 116639856 is 658936611.

116639856 is a `hidden beast` number, since 1 + 1 + 6 + 639 + 8 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (233280) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116639851) 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, 2200726 + ... + 2200778.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2116639856 is an apocalyptic number.

116639856 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 116639856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

116639856 is an abundant number, since it is smaller than the sum of its proper divisors (259407504).

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

116639856 is a wasteful number, since it uses less digits than its factorization.

116639856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 116639856 is about 10799.9933333313. The cubic root of 116639856 is about 488.5949699190.

Adding to 116639856 its sum of digits (45), we get a triangular number (116639901 = T15273).

The spelling of 116639856 in words is "one hundred sixteen million, six hundred thirty-nine thousand, eight hundred fifty-six".