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116440800 = 25352729239
BaseRepresentation
bin1101111000010…
…11111011100000
322010002210202020
412330023323200
5214302101200
615315421440
72612505360
oct674137340
9263083666
10116440800
115a800773
1232bb4880
131b17bba8
14116709a0
15a350ea0
hex6f0bee0

116440800 has 288 divisors, whose sum is σ = 449971200. Its totient is φ = 25589760.

The previous prime is 116440787. The next prime is 116440817. The reversal of 116440800 is 8044611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487081 + ... + 487319.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2116440800 is an apocalyptic number.

116440800 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 116440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

116440800 is an abundant number, since it is smaller than the sum of its proper divisors (333530400).

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

116440800 is a wasteful number, since it uses less digits than its factorization.

116440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 116440800 is about 10790.7738369405. The cubic root of 116440800 is about 488.3168684694.

The spelling of 116440800 in words is "one hundred sixteen million, four hundred forty thousand, eight hundred".