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116907840 = 2633571933
BaseRepresentation
bin1101111011111…
…01111101000000
322010222112102000
412331331331000
5214412022330
615333424000
72616462120
oct675757500
9263875360
10116907840
115aa9a655
123319b000
131b2b364a
1411752c80
15a3e4560
hex6f7df40

116907840 has 224 divisors, whose sum is σ = 471586560. Its totient is φ = 26707968.

The previous prime is 116907839. The next prime is 116907859. The reversal of 116907840 is 48709611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116907795 and 116907804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59514 + ... + 61446.

Almost surely, 2116907840 is an apocalyptic number.

116907840 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 116907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235793280).

116907840 is an abundant number, since it is smaller than the sum of its proper divisors (354678720).

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

116907840 is a wasteful number, since it uses less digits than its factorization.

116907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 116907840 is about 10812.3928896429. The cubic root of 116907840 is about 488.9688715177.

The spelling of 116907840 in words is "one hundred sixteen million, nine hundred seven thousand, eight hundred forty".