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116381600 = 2552145477
BaseRepresentation
bin1101110111111…
…01011110100000
322002222210112122
412323331132200
5214243202400
615314243412
72612140646
oct673753640
9262883478
10116381600
115a770245
1232b86568
131b15ac6a
1411657196
15a33d685
hex6efd7a0

116381600 has 36 divisors (see below), whose sum is σ = 284118534. Its totient is φ = 46552320.

The previous prime is 116381597. The next prime is 116381627. The reversal of 116381600 is 6183611.

It can be written as a sum of positive squares in 3 ways, for example, as 66650896 + 49730704 = 8164^2 + 7052^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116381600.

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 5 ways as a sum of consecutive naturals, for example, 71939 + ... + 73538.

Almost surely, 2116381600 is an apocalyptic number.

116381600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116381600 is an abundant number, since it is smaller than the sum of its proper divisors (167736934).

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

116381600 is a wasteful number, since it uses less digits than its factorization.

116381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145497 (or 145484 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 116381600 is about 10788.0304041099. The cubic root of 116381600 is about 488.2340989158.

The spelling of 116381600 in words is "one hundred sixteen million, three hundred eighty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 145477 290954 581908 727385 1163816 1454770 2327632 2909540 3636925 4655264 5819080 7273850 11638160 14547700 23276320 29095400 58190800 116381600