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116183168 = 2717107499
BaseRepresentation
bin1101110110011…
…01000010000000
322002121201100022
412323031002000
5214220330133
615310113012
72610353303
oct673150200
9262551308
10116183168
115a645152
1232aab768
131b0bb84a
1411604b3a
15a2ee998
hex6ecd080

116183168 has 64 divisors (see below), whose sum is σ = 247860000. Its totient is φ = 54054912.

The previous prime is 116183161. The next prime is 116183183. The reversal of 116183168 is 861381611.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (116183161) 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, 232583 + ... + 233081.

Almost surely, 2116183168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123930000).

116183168 is an abundant number, since it is smaller than the sum of its proper divisors (131676832).

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

116183168 is a wasteful number, since it uses less digits than its factorization.

116183168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its digits is 6912, while the sum is 35.

The square root of 116183168 is about 10778.8296210674. The cubic root of 116183168 is about 487.9564594316.

The spelling of 116183168 in words is "one hundred sixteen million, one hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 272 428 499 544 856 998 1088 1712 1819 1996 2176 3424 3638 3992 6848 7276 7984 8483 13696 14552 15968 16966 29104 31936 33932 53393 58208 63872 67864 106786 116416 135728 213572 232832 271456 427144 542912 854288 907681 1085824 1708576 1815362 3417152 3630724 6834304 7261448 14522896 29045792 58091584 116183168