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117030888 = 233213971289
BaseRepresentation
bin1101111100110…
…11111111101000
322011012210012100
412332123333220
5214424442023
615340213400
72620513632
oct676337750
9264183170
10117030888
1160074047
123323a260
131b327660
1411785a52
15a41ac43
hex6f9bfe8

117030888 has 96 divisors (see below), whose sum is σ = 345126600. Its totient is φ = 35610624.

The previous prime is 117030887. The next prime is 117030917. The reversal of 117030888 is 888030711.

It can be written as a sum of positive squares in 4 ways, for example, as 95296644 + 21734244 = 9762^2 + 4662^2 .

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

It is not an unprimeable number, because it can be changed into a prime (117030887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90148 + ... + 91436.

Almost surely, 2117030888 is an apocalyptic number.

117030888 is a gapful number since it is divisible by the number (18) 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 117030888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172563300).

117030888 is an abundant number, since it is smaller than the sum of its proper divisors (228095712).

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

117030888 is a wasteful number, since it uses less digits than its factorization.

117030888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 117030888 is about 10818.0815304748. The cubic root of 117030888 is about 489.1403614284.

The spelling of 117030888 in words is "one hundred seventeen million, thirty thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 97 104 117 156 194 234 291 312 388 468 582 776 873 936 1164 1261 1289 1746 2328 2522 2578 3492 3783 3867 5044 5156 6984 7566 7734 10088 10312 11349 11601 15132 15468 16757 22698 23202 30264 30936 33514 45396 46404 50271 67028 90792 92808 100542 125033 134056 150813 201084 250066 301626 375099 402168 500132 603252 750198 1000264 1125297 1206504 1500396 1625429 2250594 3000792 3250858 4501188 4876287 6501716 9002376 9752574 13003432 14628861 19505148 29257722 39010296 58515444 117030888