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116031400 = 2352975981
BaseRepresentation
bin1101110101001…
…11111110101000
322002100000011021
412322213332220
5214201001100
615302542224
72606151652
oct672477650
9262300137
10116031400
115a551121
1232a37974
131b067744
14115a56d2
15a2bea1a
hex6ea7fa8

116031400 has 48 divisors (see below), whose sum is σ = 272599740. Its totient is φ = 45926400.

The previous prime is 116031397. The next prime is 116031401. The reversal of 116031400 is 4130611.

It can be written as a sum of positive squares in 6 ways, for example, as 10640644 + 105390756 = 3262^2 + 10266^2 .

It is not an unprimeable number, because it can be changed into a prime (116031401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16410 + ... + 22390.

Almost surely, 2116031400 is an apocalyptic number.

116031400 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 116031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136299870).

116031400 is an abundant number, since it is smaller than the sum of its proper divisors (156568340).

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

116031400 is a wasteful number, since it uses less digits than its factorization.

116031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 116031400 is about 10771.7872240404. The cubic root of 116031400 is about 487.7438972429.

The spelling of 116031400 in words is "one hundred sixteen million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 5981 9700 11962 19400 23924 29905 47848 59810 119620 149525 239240 299050 580157 598100 1160314 1196200 2320628 2900785 4641256 5801570 11603140 14503925 23206280 29007850 58015700 116031400