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116011665 = 32572114783
BaseRepresentation
bin1101110101000…
…11001010010001
322002022000002100
412322203022101
5214144333130
615302311013
72606040300
oct672431221
9262260070
10116011665
115a538310
1232a28469
131b05b773
141159c437
15a2b8c60
hex6ea3291

116011665 has 72 divisors (see below), whose sum is σ = 255235968. Its totient is φ = 48202560.

The previous prime is 116011607. The next prime is 116011669. The reversal of 116011665 is 566110611.

It is not a de Polignac number, because 116011665 - 26 = 116011601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116011669) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 21864 + ... + 26646.

It is an arithmetic number, because the mean of its divisors is an integer number (3544944).

Almost surely, 2116011665 is an apocalyptic number.

116011665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116011665 is an abundant number, since it is smaller than the sum of its proper divisors (139224303).

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

116011665 is a wasteful number, since it uses less digits than its factorization.

116011665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 116011665 is about 10770.8711346854. The cubic root of 116011665 is about 487.7162433160.

The spelling of 116011665 in words is "one hundred sixteen million, eleven thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4783 4851 8085 14349 23915 24255 33481 43047 52613 71745 100443 157839 167405 215235 234367 263065 301329 368291 473517 502215 703101 789195 1104873 1171835 1506645 1841455 2109303 2367585 2578037 3314619 3515505 5524365 7734111 10546515 12890185 16573095 23202333 38670555 116011665