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117213966 = 235433557
BaseRepresentation
bin1101111110010…
…00101100001110
322011120002100000
412333020230032
5220001321331
615344145130
72622205452
oct677105416
9264502300
10117213966
1160189651
12333081a6
131b38ca9c
14117d2662
15a4550e6
hex6fc8b0e

117213966 has 48 divisors (see below), whose sum is σ = 264451824. Its totient is φ = 38911104.

The previous prime is 117213949. The next prime is 117213977. The reversal of 117213966 is 669312711.

It is a super-2 number, since 2×1172139662 = 27478227650898312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 117213966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210160 + ... + 210716.

It is an arithmetic number, because the mean of its divisors is an integer number (5509413).

Almost surely, 2117213966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117213966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

117213966 is an abundant number, since it is smaller than the sum of its proper divisors (147237858).

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

117213966 is an equidigital number, since it uses as much as digits as its factorization.

117213966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 117213966 is about 10826.5398904729. The cubic root of 117213966 is about 489.3952917996.

The spelling of 117213966 in words is "one hundred seventeen million, two hundred thirteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 433 486 557 866 1114 1299 1671 2598 3342 3897 5013 7794 10026 11691 15039 23382 30078 35073 45117 70146 90234 105219 135351 210438 241181 270702 482362 723543 1447086 2170629 4341258 6511887 13023774 19535661 39071322 58606983 117213966