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116360000 = 26542909
BaseRepresentation
bin1101110111110…
…00001101000000
322002221200220122
412323320031000
5214242010000
615313555412
72612020661
oct673701500
9262850818
10116360000
115a755a99
1232b75b68
131b151193
141164d368
15a337085
hex6ef8340

116360000 has 70 divisors (see below), whose sum is σ = 288634170. Its totient is φ = 46528000.

The previous prime is 116359993. The next prime is 116360003. The reversal of 116360000 is 63611.

It can be written as a sum of positive squares in 5 ways, for example, as 23892544 + 92467456 = 4888^2 + 9616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116360003) 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 9 ways as a sum of consecutive naturals, for example, 38546 + ... + 41454.

Almost surely, 2116360000 is an apocalyptic number.

116360000 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 116360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144317085).

116360000 is an abundant number, since it is smaller than the sum of its proper divisors (172274170).

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

116360000 is an frugal number, since it uses more digits than its factorization.

116360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 116360000 is about 10787.0292481294. The cubic root of 116360000 is about 488.2038922250.

The spelling of 116360000 in words is "one hundred sixteen million, three hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 2909 4000 5000 5818 8000 10000 11636 14545 20000 23272 29090 40000 46544 58180 72725 93088 116360 145450 186176 232720 290900 363625 465440 581800 727250 930880 1163600 1454500 1818125 2327200 2909000 3636250 4654400 5818000 7272500 11636000 14545000 23272000 29090000 58180000 116360000