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118106514 = 232171093541
BaseRepresentation
bin1110000101000…
…10100110010010
322020020102200100
413002202212102
5220213402024
615415233230
72632613601
oct702424622
9266212610
10118106514
1160739199
1233678816
131b613116
1411985a38
15a57e7c9
hex70a2992

118106514 has 48 divisors (see below), whose sum is σ = 273513240. Its totient is φ = 36702720.

The previous prime is 118106507. The next prime is 118106519. The reversal of 118106514 is 415601811.

118106514 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 0 + 651 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114126489 + 3980025 = 10683^2 + 1995^2 .

It is not an unprimeable number, because it can be changed into a prime (118106519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31584 + ... + 35124.

Almost surely, 2118106514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118106514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136756620).

118106514 is an abundant number, since it is smaller than the sum of its proper divisors (155406726).

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

118106514 is a wasteful number, since it uses less digits than its factorization.

118106514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 118106514 is about 10867.6820895718. The cubic root of 118106514 is about 490.6343498779.

The spelling of 118106514 in words is "one hundred eighteen million, one hundred six thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3541 3706 5559 7082 10623 11118 16677 21246 31869 33354 60197 63738 120394 180591 361182 385969 541773 771938 1083546 1157907 2315814 3473721 6561473 6947442 13122946 19684419 39368838 59053257 118106514