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116906720 = 2557104381
BaseRepresentation
bin1101111011111…
…01101011100000
322010222110212112
412331331223200
5214412003340
615333414452
72616455630
oct675755340
9263873775
10116906720
115aa99827
123319a428
131b2b2c98
14117526c0
15a3e4065
hex6f7dae0

116906720 has 48 divisors (see below), whose sum is σ = 315651168. Its totient is φ = 40081920.

The previous prime is 116906701. The next prime is 116906737. The reversal of 116906720 is 27609611.

It is a happy number.

It is a super-3 number, since 3×1169067203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 51071 + ... + 53310.

It is an arithmetic number, because the mean of its divisors is an integer number (6576066).

Almost surely, 2116906720 is an apocalyptic number.

116906720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116906720 is an abundant number, since it is smaller than the sum of its proper divisors (198744448).

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

116906720 is a wasteful number, since it uses less digits than its factorization.

116906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104403 (or 104395 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 116906720 is about 10812.3410970983. The cubic root of 116906720 is about 488.9673100402.

The spelling of 116906720 in words is "one hundred sixteen million, nine hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 104381 208762 417524 521905 730667 835048 1043810 1461334 1670096 2087620 2922668 3340192 3653335 4175240 5845336 7306670 8350480 11690672 14613340 16700960 23381344 29226680 58453360 116906720