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116884100 = 22521168841
BaseRepresentation
bin1101111011110…
…00001010000100
322010221022211202
412331320022010
5214410242400
615333122032
72616332654
oct675701204
9263838752
10116884100
115aa83833
1233189318
131b2a58b8
1411748364
15a3dc4d5
hex6f78284

116884100 has 18 divisors (see below), whose sum is σ = 253638714. Its totient is φ = 46753600.

The previous prime is 116884099. The next prime is 116884109. The reversal of 116884100 is 1488611.

It can be written as a sum of positive squares in 3 ways, for example, as 287296 + 116596804 = 536^2 + 10798^2 .

It is not an unprimeable number, because it can be changed into a prime (116884109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 584321 + ... + 584520.

Almost surely, 2116884100 is an apocalyptic number.

116884100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116884100 is an abundant number, since it is smaller than the sum of its proper divisors (136754614).

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

116884100 is a wasteful number, since it uses less digits than its factorization.

116884100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168855 (or 1168848 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 116884100 is about 10811.2950195617. The cubic root of 116884100 is about 488.9357716365.

The spelling of 116884100 in words is "one hundred sixteen million, eight hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1168841 2337682 4675364 5844205 11688410 23376820 29221025 58442050 116884100