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117656220 = 223511892003
BaseRepresentation
bin1110000001101…
…00101010011100
322012101112222210
413000310222130
5220104444340
615401440420
72626030023
oct700645234
9265345883
10117656220
1160460950
12334a0110
131b4b6186
14118a98ba
15a4e1180
hex7034a9c

117656220 has 96 divisors (see below), whose sum is σ = 363605760. Its totient is φ = 28188160.

The previous prime is 117656197. The next prime is 117656233. The reversal of 117656220 is 22656711.

It is a super-2 number, since 2×1176562202 = 27685972209376800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57739 + ... + 59741.

It is an arithmetic number, because the mean of its divisors is an integer number (3787560).

Almost surely, 2117656220 is an apocalyptic number.

117656220 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 117656220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181802880).

117656220 is an abundant number, since it is smaller than the sum of its proper divisors (245949540).

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

117656220 is a wasteful number, since it uses less digits than its factorization.

117656220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 117656220 is about 10846.9451920806. The cubic root of 117656220 is about 490.0100233962.

The spelling of 117656220 in words is "one hundred seventeen million, six hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2003 2670 2937 3916 4006 4895 5340 5874 6009 8012 9790 10015 11748 12018 14685 19580 20030 22033 24036 29370 30045 40060 44066 58740 60090 66099 88132 110165 120180 132198 178267 220330 264396 330495 356534 440660 534801 660990 713068 891335 1069602 1321980 1782670 1960937 2139204 2674005 3565340 3921874 5348010 5882811 7843748 9804685 10696020 11765622 19609370 23531244 29414055 39218740 58828110 117656220