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117130320 = 24335211257
BaseRepresentation
bin1101111101101…
…00010001010000
322011101211121000
412332310101100
5214441132240
615342302000
72621406546
oct676642120
9264354530
10117130320
116013181a
1233287900
131b3609a8
14117add96
15a43a430
hex6fb4450

117130320 has 160 divisors (see below), whose sum is σ = 406938240. Its totient is φ = 30965760.

The previous prime is 117130303. The next prime is 117130337. The reversal of 117130320 is 23031711.

It is an interprime number because it is at equal distance from previous prime (117130303) and next prime (117130337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 117130293 and 117130302.

It is a congruent number.

It is an unprimeable number.

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, 455632 + ... + 455888.

It is an arithmetic number, because the mean of its divisors is an integer number (2543364).

Almost surely, 2117130320 is an apocalyptic number.

117130320 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 117130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203469120).

117130320 is an abundant number, since it is smaller than the sum of its proper divisors (289807920).

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

117130320 is a wasteful number, since it uses less digits than its factorization.

117130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 117130320 is about 10822.6761939919. The cubic root of 117130320 is about 489.2788503283.

The spelling of 117130320 in words is "one hundred seventeen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 211 216 240 257 270 360 422 432 514 540 633 720 771 844 1028 1055 1080 1266 1285 1542 1688 1899 2056 2110 2160 2313 2532 2570 3084 3165 3376 3798 3855 4112 4220 4626 5064 5140 5697 6168 6330 6939 7596 7710 8440 9252 9495 10128 10280 11394 11565 12336 12660 13878 15192 15420 16880 18504 18990 20560 22788 23130 25320 27756 28485 30384 30840 34695 37008 37980 45576 46260 50640 54227 55512 56970 61680 69390 75960 91152 92520 108454 111024 113940 138780 151920 162681 185040 216908 227880 271135 277560 325362 433816 455760 488043 542270 555120 650724 813405 867632 976086 1084540 1301448 1464129 1626810 1952172 2169080 2440215 2602896 2928258 3253620 3904344 4338160 4880430 5856516 6507240 7320645 7808688 9760860 11713032 13014480 14641290 19521720 23426064 29282580 39043440 58565160 117130320