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117071700 = 223523753199
BaseRepresentation
bin1101111101001…
…01111101010100
322011021212011220
412332211331110
5214432243300
615341130340
72621043624
oct676457524
9264255156
10117071700
11600a1779
12332599b0
131b3400c5
1411796884
15a427da0
hex6fa5f54

117071700 has 144 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 29652480.

The previous prime is 117071683. The next prime is 117071719. The reversal of 117071700 is 7170711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588201 + ... + 588399.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2117071700 is an apocalyptic number.

117071700 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 117071700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

117071700 is an abundant number, since it is smaller than the sum of its proper divisors (239155500).

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

117071700 is a wasteful number, since it uses less digits than its factorization.

117071700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 343, while the sum is 24.

The square root of 117071700 is about 10819.9676524470. The cubic root of 117071700 is about 489.1972138734.

The spelling of 117071700 in words is "one hundred seventeen million, seventy-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 53 60 74 75 100 106 111 148 150 159 185 199 212 222 265 300 318 370 398 444 530 555 597 636 740 795 796 925 995 1060 1110 1194 1325 1590 1850 1961 1990 2220 2388 2650 2775 2985 3180 3700 3922 3975 3980 4975 5300 5550 5883 5970 7363 7844 7950 9805 9950 10547 11100 11766 11940 14726 14925 15900 19610 19900 21094 22089 23532 29415 29452 29850 31641 36815 39220 42188 44178 49025 52735 58830 59700 63282 73630 88356 98050 105470 110445 117660 126564 147075 147260 158205 184075 196100 210940 220890 263675 294150 316410 368150 390239 441780 527350 552225 588300 632820 736300 780478 791025 1054700 1104450 1170717 1560956 1582050 1951195 2208900 2341434 3164100 3902390 4682868 5853585 7804780 9755975 11707170 19511950 23414340 29267925 39023900 58535850 117071700