Search a number
-
+
117234720 = 25325174789
BaseRepresentation
bin1101111110011…
…01110000100000
322011121010210200
412333031300200
5220003002340
615344425200
72622323121
oct677156040
9264533720
10117234720
11601a31a9
1233318200
131b399375
14117da048
15a45b330
hex6fcdc20

117234720 has 144 divisors (see below), whose sum is σ = 423685080. Its totient is φ = 29417472.

The previous prime is 117234683. The next prime is 117234721. The reversal of 117234720 is 27432711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82519056 + 34715664 = 9084^2 + 5892^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117234721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22086 + ... + 26874.

Almost surely, 2117234720 is an apocalyptic number.

117234720 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 117234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211842540).

117234720 is an abundant number, since it is smaller than the sum of its proper divisors (306450360).

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

117234720 is a wasteful number, since it uses less digits than its factorization.

117234720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 117234720 is about 10827.4983260216. The cubic root of 117234720 is about 489.4241743376.

The spelling of 117234720 in words is "one hundred seventeen million, two hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4789 4896 6120 8160 9578 12240 14367 19156 23945 24480 28734 38312 43101 47890 57468 71835 76624 81413 86202 95780 114936 143670 153248 162826 172404 191560 215505 229872 244239 287340 325652 344808 383120 407065 431010 459744 488478 574680 651304 689616 732717 766240 814130 862020 976956 1149360 1221195 1302608 1379232 1465434 1628260 1724040 1953912 2298720 2442390 2605216 2930868 3256520 3448080 3663585 3907824 4884780 5861736 6513040 6896160 7327170 7815648 9769560 11723472 13026080 14654340 19539120 23446944 29308680 39078240 58617360 117234720