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116608000 = 21053911
BaseRepresentation
bin1101111001101…
…00110000000000
322010102022002211
412330310300000
5214322424000
615323151504
72614103005
oct674646000
9263368084
10116608000
115a905353
1233075594
131b20a022
14116b58ac
15a3857ba
hex6f34c00

116608000 has 88 divisors (see below), whose sum is σ = 291230784. Its totient is φ = 46592000.

The previous prime is 116607991. The next prime is 116608001. The reversal of 116608000 is 806611.

It is not an unprimeable number, because it can be changed into a prime (116608001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127545 + ... + 128455.

Almost surely, 2116608000 is an apocalyptic number.

116608000 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 116608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145615392).

116608000 is an abundant number, since it is smaller than the sum of its proper divisors (174622784).

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

116608000 is an frugal number, since it uses more digits than its factorization.

116608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 116608000 is about 10798.5184168941. The cubic root of 116608000 is about 488.5504851289.

The spelling of 116608000 in words is "one hundred sixteen million, six hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 911 1000 1024 1280 1600 1822 2000 2560 3200 3644 4000 4555 5120 6400 7288 8000 9110 12800 14576 16000 18220 22775 25600 29152 32000 36440 45550 58304 64000 72880 91100 113875 116608 128000 145760 182200 227750 233216 291520 364400 455500 466432 583040 728800 911000 932864 1166080 1457600 1822000 2332160 2915200 3644000 4664320 5830400 7288000 11660800 14576000 23321600 29152000 58304000 116608000