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116057080 = 235231011249
BaseRepresentation
bin1101110101011…
…10001111111000
322002101022101101
412322232033320
5214202311310
615303301144
72606316556
oct672561770
9262338341
10116057080
115a569447
1232a4a7b4
131b076339
14115b0bd6
15a2c743a
hex6eae3f8

116057080 has 64 divisors (see below), whose sum is σ = 275400000. Its totient is φ = 43929600.

The previous prime is 116057063. The next prime is 116057093. The reversal of 116057080 is 80750611.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 92296 + ... + 93544.

It is an arithmetic number, because the mean of its divisors is an integer number (4303125).

Almost surely, 2116057080 is an apocalyptic number.

116057080 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 116057080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137700000).

116057080 is an abundant number, since it is smaller than the sum of its proper divisors (159342920).

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

116057080 is a wasteful number, since it uses less digits than its factorization.

116057080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 116057080 is about 10772.9791608450. The cubic root of 116057080 is about 487.7798769845.

The spelling of 116057080 in words is "one hundred sixteen million, fifty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 101 115 184 202 230 404 460 505 808 920 1010 1249 2020 2323 2498 4040 4646 4996 6245 9292 9992 11615 12490 18584 23230 24980 28727 46460 49960 57454 92920 114908 126149 143635 229816 252298 287270 504596 574540 630745 1009192 1149080 1261490 2522980 2901427 5045960 5802854 11605708 14507135 23211416 29014270 58028540 116057080