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116993800 = 235271171107
BaseRepresentation
bin1101111100100…
…10111100001000
322011010220022201
412332102330020
5214422300200
615335325544
72620300540
oct676227410
9264126281
10116993800
11600491a0
12332208b4
131b313801
1411776320
15a40ec6a
hex6f92f08

116993800 has 192 divisors, whose sum is σ = 347120640. Its totient is φ = 35616000.

The previous prime is 116993777. The next prime is 116993809. The reversal of 116993800 is 8399611.

It is a self number, because there is not a number n which added to its sum of digits gives 116993800.

It is not an unprimeable number, because it can be changed into a prime (116993809) 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, 1093347 + ... + 1093453.

It is an arithmetic number, because the mean of its divisors is an integer number (1807920).

Almost surely, 2116993800 is an apocalyptic number.

116993800 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 116993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

116993800 is an abundant number, since it is smaller than the sum of its proper divisors (230126840).

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

116993800 is a wasteful number, since it uses less digits than its factorization.

116993800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 116993800 is about 10816.3672274937. The cubic root of 116993800 is about 489.0886851723.

The spelling of 116993800 in words is "one hundred sixteen million, nine hundred ninety-three thousand, eight hundred".