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116172828 = 22324796737
BaseRepresentation
bin1101110110010…
…10100000011100
322002121012011100
412323022200130
5214220012303
615305553100
72610311202
oct673124034
9262535140
10116172828
115a638402
1232aa5790
131b0b6c25
1411601072
15a2eb8a3
hex6eca81c

116172828 has 36 divisors (see below), whose sum is σ = 294315840. Its totient is φ = 38637696.

The previous prime is 116172809. The next prime is 116172863. The reversal of 116172828 is 828271611.

116172828 is a `hidden beast` number, since 11 + 617 + 2 + 8 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1161728282 = 26992251931035168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116172792 and 116172801.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13876 + ... + 20612.

It is an arithmetic number, because the mean of its divisors is an integer number (8175440).

Almost surely, 2116172828 is an apocalyptic number.

116172828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116172828 is an abundant number, since it is smaller than the sum of its proper divisors (178143012).

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

116172828 is a wasteful number, since it uses less digits than its factorization.

116172828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7221 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 116172828 is about 10778.3499664837. The cubic root of 116172828 is about 487.9419833833.

The spelling of 116172828 in words is "one hundred sixteen million, one hundred seventy-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 479 958 1437 1916 2874 4311 5748 6737 8622 13474 17244 20211 26948 40422 60633 80844 121266 242532 3227023 6454046 9681069 12908092 19362138 29043207 38724276 58086414 116172828