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116904000 = 263534871
BaseRepresentation
bin1101111011111…
…01000001000000
322010222100010210
412331331001000
5214411412000
615333354120
72616444663
oct675750100
9263870123
10116904000
115aa97784
1233198940
131b2b1985
14117516da
15a3e3350
hex6f7d040

116904000 has 112 divisors (see below), whose sum is σ = 386096256. Its totient is φ = 31168000.

The previous prime is 116903989. The next prime is 116904013. The reversal of 116904000 is 409611.

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 15 ways as a sum of consecutive naturals, for example, 21565 + ... + 26435.

It is an arithmetic number, because the mean of its divisors is an integer number (3447288).

Almost surely, 2116904000 is an apocalyptic number.

116904000 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 116904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193048128).

116904000 is an abundant number, since it is smaller than the sum of its proper divisors (269192256).

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

116904000 is an equidigital number, since it uses as much as digits as its factorization.

116904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 116904000 is about 10812.2153141713. The cubic root of 116904000 is about 488.9635178390.

The spelling of 116904000 in words is "one hundred sixteen million, nine hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 4871 6000 8000 9742 12000 14613 19484 24000 24355 29226 38968 48710 58452 73065 77936 97420 116904 121775 146130 155872 194840 233808 243550 292260 311744 365325 389680 467616 487100 584520 608875 730650 779360 935232 974200 1169040 1217750 1461300 1558720 1826625 1948400 2338080 2435500 2922600 3653250 3896800 4676160 4871000 5845200 7306500 7793600 9742000 11690400 14613000 19484000 23380800 29226000 38968000 58452000 116904000