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116566965 = 3356731283
BaseRepresentation
bin1101111001010…
…10101110110101
322010100012211000
412330222232311
5214320120330
615322233513
72613542244
oct674525665
9263305730
10116566965
115a887539
1233055899
131b1c4448
14116a495b
15a378560
hex6f2abb5

116566965 has 32 divisors (see below), whose sum is σ = 207699840. Its totient is φ = 62028288.

The previous prime is 116566951. The next prime is 116566969. The reversal of 116566965 is 569665611.

It is not a de Polignac number, because 116566965 - 212 = 116562869 is a prime.

It is a super-2 number, since 2×1165669652 = 27175714658622450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116566965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116566969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 90214 + ... + 91496.

It is an arithmetic number, because the mean of its divisors is an integer number (6490620).

Almost surely, 2116566965 is an apocalyptic number.

116566965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116566965 is a deficient number, since it is larger than the sum of its proper divisors (91132875).

116566965 is a wasteful number, since it uses less digits than its factorization.

116566965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1964 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 116566965 is about 10796.6182205355. The cubic root of 116566965 is about 488.4931705328.

The spelling of 116566965 in words is "one hundred sixteen million, five hundred sixty-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 673 1283 2019 3365 3849 6057 6415 10095 11547 18171 19245 30285 34641 57735 90855 173205 863459 2590377 4317295 7771131 12951885 23313393 38855655 116566965