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117775116 = 223217533631
BaseRepresentation
bin1110000010100…
…01101100001100
322012121121002100
413001101230030
5220122300431
615404155100
72630033454
oct701215414
9265547070
10117775116
1160532208
1233538a90
131b528324
14118dad64
15a5164e6
hex7051b0c

117775116 has 72 divisors (see below), whose sum is σ = 321257664. Its totient is φ = 36241920.

The previous prime is 117775103. The next prime is 117775121. The reversal of 117775116 is 611577711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 30621 + ... + 34251.

It is an arithmetic number, because the mean of its divisors is an integer number (4461912).

Almost surely, 2117775116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117775116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160628832).

117775116 is an abundant number, since it is smaller than the sum of its proper divisors (203482548).

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

117775116 is a wasteful number, since it uses less digits than its factorization.

117775116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3706 counting only the distinct ones).

The product of its digits is 10290, while the sum is 36.

The square root of 117775116 is about 10852.4244295918. The cubic root of 117775116 is about 490.1750256320.

The spelling of 117775116 in words is "one hundred seventeen million, seven hundred seventy-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 3631 5406 7262 8109 10812 10893 14524 16218 21786 32436 32679 43572 61727 65358 123454 130716 185181 192443 246908 370362 384886 555543 577329 740724 769772 1111086 1154658 1731987 2222172 2309316 3271531 3463974 6543062 6927948 9814593 13086124 19629186 29443779 39258372 58887558 117775116