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116428320 = 2533526951
BaseRepresentation
bin1101111000010…
…00111000100000
322010002011122000
412330020320200
5214301201240
615315244000
72612424111
oct674107040
9263064560
10116428320
115a7a2358
1232ba9600
131b1762c8
141166a208
15a34c430
hex6f08e20

116428320 has 96 divisors (see below), whose sum is σ = 407514240. Its totient is φ = 31046400.

The previous prime is 116428309. The next prime is 116428331. The reversal of 116428320 is 23824611.

116428320 is a `hidden beast` number, since 11 + 642 + 8 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116428309) and next prime (116428331).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9156 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (4244940).

Almost surely, 2116428320 is an apocalyptic number.

116428320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116428320 is an abundant number, since it is smaller than the sum of its proper divisors (291085920).

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

116428320 is a wasteful number, since it uses less digits than its factorization.

116428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26975 (or 26961 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 116428320 is about 10790.1955496645. The cubic root of 116428320 is about 488.2994220868.

The spelling of 116428320 in words is "one hundred sixteen million, four hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 26951 53902 80853 107804 134755 161706 215608 242559 269510 323412 404265 431216 485118 539020 646824 727677 808530 862432 970236 1078040 1212795 1293648 1455354 1617060 1940472 2156080 2425590 2587296 2910708 3234120 3638385 3880944 4312160 4851180 5821416 6468240 7276770 7761888 9702360 11642832 12936480 14553540 19404720 23285664 29107080 38809440 58214160 116428320