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116035920 = 2432572111323
BaseRepresentation
bin1101110101010…
…01000101010000
322002100020100200
412322221011100
5214201122140
615303015200
72606201100
oct672510520
9262306320
10116035920
115a554560
1232a3a500
131b069810
14115a7200
15a2c1030
hex6ea9150

116035920 has 720 divisors, whose sum is σ = 555714432. Its totient is φ = 21288960.

The previous prime is 116035919. The next prime is 116035937. The reversal of 116035920 is 29530611.

116035920 is a `hidden beast` number, since 1 + 1 + 603 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5045029 + ... + 5045051.

Almost surely, 2116035920 is an apocalyptic number.

116035920 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 116035920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

116035920 is an abundant number, since it is smaller than the sum of its proper divisors (439678512).

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

116035920 is a wasteful number, since it uses less digits than its factorization.

116035920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 116035920 is about 10771.9970293349. The cubic root of 116035920 is about 487.7502305107.

The spelling of 116035920 in words is "one hundred sixteen million, thirty-five thousand, nine hundred twenty".