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117309180 = 223517472447
BaseRepresentation
bin1101111110111…
…11111011111100
322011201220221110
412333133323330
5220012343210
615350202020
72623053162
oct677377374
9264656843
10117309180
116024413a
1233353310
131b3c4221
1411819232
15a473420
hex6fdfefc

117309180 has 96 divisors (see below), whose sum is σ = 355332096. Its totient is φ = 28804096.

The previous prime is 117309167. The next prime is 117309187. The reversal of 117309180 is 81903711.

It is a super-2 number, since 2×1173091802 = 27522887424544800, 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 not an unprimeable number, because it can be changed into a prime (117309187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46717 + ... + 49163.

It is an arithmetic number, because the mean of its divisors is an integer number (3701376).

Almost surely, 2117309180 is an apocalyptic number.

117309180 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 117309180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177666048).

117309180 is an abundant number, since it is smaller than the sum of its proper divisors (238022916).

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

117309180 is a wasteful number, since it uses less digits than its factorization.

117309180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 117309180 is about 10830.9362476196. The cubic root of 117309180 is about 489.5277693916.

It can be divided in two parts, 11730 and 9180, that added together give a triangular number (20910 = T204).

The spelling of 117309180 in words is "one hundred seventeen million, three hundred nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2447 2820 3196 3995 4794 4894 7341 7990 9588 9788 11985 12235 14682 15980 23970 24470 29364 36705 41599 47940 48940 73410 83198 115009 124797 146820 166396 207995 230018 249594 345027 415990 460036 499188 575045 623985 690054 831980 1150090 1247970 1380108 1725135 1955153 2300180 2495940 3450270 3910306 5865459 6900540 7820612 9775765 11730918 19551530 23461836 29327295 39103060 58654590 117309180