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116075020 = 225231671511
BaseRepresentation
bin1101110101100…
…10101000001100
322002102012222211
412322302220030
5214203400040
615303520204
72606423065
oct672625014
9262365884
10116075020
115a580976
1232a59064
131b081559
14115b756c
15a2cc8ea
hex6eb2a0c

116075020 has 48 divisors (see below), whose sum is σ = 256048128. Its totient is φ = 44116160.

The previous prime is 116074993. The next prime is 116075027. The reversal of 116075020 is 20570611.

It is a junction number, because it is equal to n+sod(n) for n = 116074982 and 116075000.

It is not an unprimeable number, because it can be changed into a prime (116075027) 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 15 ways as a sum of consecutive naturals, for example, 76065 + ... + 77575.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2116075020 is an apocalyptic number.

116075020 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 116075020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024064).

116075020 is an abundant number, since it is smaller than the sum of its proper divisors (139973108).

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

116075020 is a wasteful number, since it uses less digits than its factorization.

116075020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 116075020 is about 10773.8117674294. The cubic root of 116075020 is about 487.8050092158.

The spelling of 116075020 in words is "one hundred sixteen million, seventy-five thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 167 230 334 460 668 835 1511 1670 3022 3340 3841 6044 7555 7682 15110 15364 19205 30220 34753 38410 69506 76820 139012 173765 252337 347530 504674 695060 1009348 1261685 2523370 5046740 5803751 11607502 23215004 29018755 58037510 116075020