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117091800 = 23325279293
BaseRepresentation
bin1101111101010…
…10110111011000
322011022212202100
412332222313120
5214433414200
615341403400
72621156340
oct676526730
9264285670
10117091800
1160105891
1233269560
131b3492b7
141179dd20
15a42dd00
hex6faadd8

117091800 has 144 divisors (see below), whose sum is σ = 449457840. Its totient is φ = 26760960.

The previous prime is 117091789. The next prime is 117091823. The reversal of 117091800 is 8190711.

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 35 ways as a sum of consecutive naturals, for example, 7954 + ... + 17246.

It is an arithmetic number, because the mean of its divisors is an integer number (3121235).

Almost surely, 2117091800 is an apocalyptic number.

117091800 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 117091800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224728920).

117091800 is an abundant number, since it is smaller than the sum of its proper divisors (332366040).

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

117091800 is a wasteful number, since it uses less digits than its factorization.

117091800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 117091800 is about 10820.8964508492. The cubic root of 117091800 is about 489.2252089719.

The spelling of 117091800 in words is "one hundred seventeen million, ninety-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 9293 12600 18586 27879 37172 46465 55758 65051 74344 83637 92930 111516 130102 139395 167274 185860 195153 223032 232325 260204 278790 325255 334548 371720 390306 418185 464650 520408 557580 585459 650510 669096 696975 780612 836370 929300 975765 1115160 1170918 1301020 1393950 1561224 1626275 1672740 1858600 1951530 2090925 2341836 2602040 2787900 2927295 3252550 3345480 3903060 4181850 4683672 4878825 5575800 5854590 6505100 7806120 8363700 9757650 11709180 13010200 14636475 16727400 19515300 23418360 29272950 39030600 58545900 117091800