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116805000 = 2335413599
BaseRepresentation
bin1101111011001…
…00110110001000
322010210022100010
412331210312020
5214400230000
615331311520
72615553234
oct675446610
9263708303
10116805000
115aa2a364
123314b5a0
131b2788b0
14117275c4
15a3c3d50
hex6f64d88

116805000 has 160 divisors (see below), whose sum is σ = 393624000. Its totient is φ = 28704000.

The previous prime is 116804939. The next prime is 116805001. The reversal of 116805000 is 508611.

It is not an unprimeable number, because it can be changed into a prime (116805001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194701 + ... + 195299.

It is an arithmetic number, because the mean of its divisors is an integer number (2460150).

Almost surely, 2116805000 is an apocalyptic number.

116805000 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 116805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196812000).

116805000 is an abundant number, since it is smaller than the sum of its proper divisors (276819000).

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

116805000 is a wasteful number, since it uses less digits than its factorization.

116805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 116805000 is about 10807.6361892876. The cubic root of 116805000 is about 488.8254528191.

The spelling of 116805000 in words is "one hundred sixteen million, eight hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 599 600 625 650 750 780 975 1000 1198 1250 1300 1500 1560 1625 1797 1875 1950 2396 2500 2600 2995 3000 3250 3594 3750 3900 4792 4875 5000 5990 6500 7188 7500 7787 7800 8125 8985 9750 11980 13000 14376 14975 15000 15574 16250 17970 19500 23361 23960 24375 29950 31148 32500 35940 38935 39000 44925 46722 48750 59900 62296 65000 71880 74875 77870 89850 93444 97500 116805 119800 149750 155740 179700 186888 194675 195000 224625 233610 299500 311480 359400 374375 389350 449250 467220 584025 599000 748750 778700 898500 934440 973375 1123125 1168050 1497500 1557400 1797000 1946750 2246250 2336100 2920125 2995000 3893500 4492500 4672200 4866875 5840250 7787000 8985000 9733750 11680500 14600625 19467500 23361000 29201250 38935000 58402500 116805000