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116914000 = 2453721193
BaseRepresentation
bin1101111011111…
…11011101010000
322010222211212011
412331333131100
5214412222000
615333512304
72616516100
oct675773520
9263884764
10116914000
115aaa4245
12331a2694
131b2b63a8
1411755200
15a3e62ba
hex6f7f750

116914000 has 120 divisors (see below), whose sum is σ = 329128488. Its totient is φ = 40051200.

The previous prime is 116913997. The next prime is 116914027. The reversal of 116914000 is 419611.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 112021056 = 2212^2 + 10584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97404 + ... + 98596.

Almost surely, 2116914000 is an apocalyptic number.

116914000 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 116914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164564244).

116914000 is an abundant number, since it is smaller than the sum of its proper divisors (212214488).

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

116914000 is a wasteful number, since it uses less digits than its factorization.

116914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 116914000 is about 10812.6777442038. The cubic root of 116914000 is about 488.9774594657.

The spelling of 116914000 in words is "one hundred sixteen million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1193 1225 1400 1750 1960 2000 2386 2450 2800 3500 3920 4772 4900 5965 6125 7000 8351 9544 9800 11930 12250 14000 16702 19088 19600 23860 24500 29825 33404 41755 47720 49000 58457 59650 66808 83510 95440 98000 116914 119300 133616 149125 167020 208775 233828 238600 292285 298250 334040 417550 467656 477200 584570 596500 668080 835100 935312 1043875 1169140 1193000 1461425 1670200 2087750 2338280 2386000 2922850 3340400 4175500 4676560 5845700 7307125 8351000 11691400 14614250 16702000 23382800 29228500 58457000 116914000