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116400560 = 2451455007
BaseRepresentation
bin1101111000000…
…10000110110000
322010000202112212
412330002012300
5214244304220
615314511252
72612250143
oct674020660
9263022485
10116400560
115a783511
1232b95528
131b166793
141166005a
15a3440c5
hex6f021b0

116400560 has 20 divisors (see below), whose sum is σ = 270631488. Its totient is φ = 46560192.

The previous prime is 116400553. The next prime is 116400587. The reversal of 116400560 is 65004611.

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 727424 + ... + 727583.

Almost surely, 2116400560 is an apocalyptic number.

116400560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116400560 is an abundant number, since it is smaller than the sum of its proper divisors (154230928).

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

116400560 is a wasteful number, since it uses less digits than its factorization.

116400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455020 (or 1455014 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 116400560 is about 10788.9091200176. The cubic root of 116400560 is about 488.2606105977.

The spelling of 116400560 in words is "one hundred sixteen million, four hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1455007 2910014 5820028 7275035 11640056 14550070 23280112 29100140 58200280 116400560