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116079075 = 3452719431
BaseRepresentation
bin1101110101100…
…11100111100011
322002102102120000
412322303213203
5214204012300
615303551043
72606440650
oct672634743
9262372500
10116079075
115a583a22
1232a5b483
131b083358
14115b8c27
15a2cdc00
hex6eb39e3

116079075 has 120 divisors (see below), whose sum is σ = 259269120. Its totient is φ = 50155200.

The previous prime is 116079071. The next prime is 116079079. The reversal of 116079075 is 570970611.

It is a Cunningham number, because it is equal to 107742-1.

It is an interprime number because it is at equal distance from previous prime (116079071) and next prime (116079079).

It is not a de Polignac number, because 116079075 - 22 = 116079071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116079071) 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 119 ways as a sum of consecutive naturals, for example, 269110 + ... + 269540.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2116079075 is an apocalyptic number.

116079075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116079075 is an abundant number, since it is smaller than the sum of its proper divisors (143190045).

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

116079075 is a wasteful number, since it uses less digits than its factorization.

116079075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 116079075 is about 10773.9999535920. Note that the first 4 decimals coincide. The cubic root of 116079075 is about 487.8106895258.

The spelling of 116079075 in words is "one hundred sixteen million, seventy-nine thousand, seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 81 95 105 133 135 171 175 189 225 285 315 399 405 431 475 513 525 567 665 675 855 945 1197 1293 1425 1539 1575 1995 2025 2155 2565 2835 3017 3325 3591 3879 4275 4725 5985 6465 7695 8189 9051 9975 10773 10775 11637 12825 14175 15085 17955 19395 24567 27153 29925 32325 34911 38475 40945 45255 53865 57323 58185 73701 75425 81459 89775 96975 122835 135765 171969 174555 204725 221103 226275 244377 269325 286615 290925 368505 407295 515907 614175 663309 678825 859845 872775 1105515 1221885 1433075 1547721 1842525 2036475 2579535 3316545 4299225 4643163 5527575 6109425 7738605 12897675 16582725 23215815 38693025 116079075