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117729180 = 22335239479
BaseRepresentation
bin1110000010001…
…10011110011100
322012112021002000
413001012132130
5220114313210
615403202300
72626452522
oct701063634
9265467060
10117729180
1160500748
1233516390
131b51044a
14118c8312
15a507ac0
hex704679c

117729180 has 96 divisors (see below), whose sum is σ = 382233600. Its totient is φ = 30026304.

The previous prime is 117729179. The next prime is 117729181. The reversal of 117729180 is 81927711.

It is an interprime number because it is at equal distance from previous prime (117729179) and next prime (117729181).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117729181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7681 + ... + 17159.

It is an arithmetic number, because the mean of its divisors is an integer number (3981600).

Almost surely, 2117729180 is an apocalyptic number.

117729180 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 117729180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191116800).

117729180 is an abundant number, since it is smaller than the sum of its proper divisors (264504420).

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

117729180 is a wasteful number, since it uses less digits than its factorization.

117729180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 117729180 is about 10850.3078297346. The cubic root of 117729180 is about 490.1112894519. Note that the first 3 decimals are identical.

The spelling of 117729180 in words is "one hundred seventeen million, seven hundred twenty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 9479 12420 18958 28437 37916 47395 56874 85311 94790 113748 142185 170622 189580 218017 255933 284370 341244 426555 436034 511866 568740 654051 853110 872068 1023732 1090085 1279665 1308102 1706220 1962153 2180170 2559330 2616204 3270255 3924306 4360340 5118660 5886459 6540510 7848612 9810765 11772918 13081020 19621530 23545836 29432295 39243060 58864590 117729180