Search a number
-
+
117356310 = 23355359139
BaseRepresentation
bin1101111111010…
…11011100010110
322011211022121000
412333223130112
5220020400220
615351204130
72623340451
oct677533426
9264738530
10117356310
1160276595
1233376646
131b40c806
141182c498
15a482390
hex6feb716

117356310 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 29966976.

The previous prime is 117356303. The next prime is 117356311. The reversal of 117356310 is 13653711.

It is a super-2 number, since 2×1173563102 = 27545006993632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117356311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844221 + ... + 844359.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2117356310 is an apocalyptic number.

117356310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117356310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

117356310 is an abundant number, since it is smaller than the sum of its proper divisors (209235690).

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

117356310 is a wasteful number, since it uses less digits than its factorization.

117356310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 117356310 is about 10833.1117413235. Note that the first 3 decimals coincide. The cubic root of 117356310 is about 489.5933179836.

The spelling of 117356310 in words is "one hundred seventeen million, three hundred fifty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 59 90 106 118 135 139 159 177 265 270 278 295 318 354 417 477 530 531 590 695 795 834 885 954 1062 1251 1390 1431 1590 1593 1770 2085 2385 2502 2655 2862 3127 3186 3753 4170 4770 5310 6254 6255 7155 7367 7506 7965 8201 9381 12510 14310 14734 15635 15930 16402 18762 18765 22101 24603 28143 31270 36835 37530 41005 44202 46905 49206 56286 66303 73670 73809 82010 84429 93810 110505 123015 132606 140715 147618 168858 198909 221010 221427 246030 281430 331515 369045 397818 422145 434653 442854 663030 738090 844290 869306 994545 1107135 1303959 1989090 2173265 2214270 2607918 3911877 4346530 6519795 7823754 11735631 13039590 19559385 23471262 39118770 58678155 117356310