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116043840 = 2634511237
BaseRepresentation
bin1101110101010…
…11000001000000
322002100122020000
412322223001000
5214201400330
615303120000
72606233143
oct672530100
9262318200
10116043840
115a55a500
1232a43000
131b0702c3
14115aa05a
15a2c3560
hex6eab040

116043840 has 420 divisors, whose sum is σ = 465988908. Its totient is φ = 27371520.

The previous prime is 116043839. The next prime is 116043857. The reversal of 116043840 is 48340611.

116043840 = T185 + T186 + ... + T888.

116043840 is a `hidden beast` number, since 11 + 604 + 3 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75898944 + 40144896 = 8712^2 + 6336^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136302 + ... + 3136338.

Almost surely, 2116043840 is an apocalyptic number.

116043840 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 116043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232994454).

116043840 is an abundant number, since it is smaller than the sum of its proper divisors (349945068).

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

116043840 is a wasteful number, since it uses less digits than its factorization.

116043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 116043840 is about 10772.3646429185. The cubic root of 116043840 is about 487.7613273445.

The spelling of 116043840 in words is "one hundred sixteen million, forty-three thousand, eight hundred forty".