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73400085 = 32511791877
BaseRepresentation
bin1000101111111…
…11111100010101
312010010002222200
410113333330111
5122242300320
611141115113
71550614263
oct427777425
9163102880
1073400085
1138483630
12206b8a99
131228c305
149a69433
15669d290
hex45fff15

73400085 has 48 divisors (see below), whose sum is σ = 140624640. Its totient is φ = 35118720.

The previous prime is 73400083. The next prime is 73400111. The reversal of 73400085 is 58000437.

It is not a de Polignac number, because 73400085 - 21 = 73400083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73400083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38167 + ... + 40043.

It is an arithmetic number, because the mean of its divisors is an integer number (2929680).

Almost surely, 273400085 is an apocalyptic number.

It is an amenable number.

73400085 is a deficient number, since it is larger than the sum of its proper divisors (67224555).

73400085 is a wasteful number, since it uses less digits than its factorization.

73400085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 73400085 is about 8567.3849569166. The cubic root of 73400085 is about 418.6960408679.

The spelling of 73400085 in words is "seventy-three million, four hundred thousand, eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 79 99 165 237 395 495 711 869 1185 1877 2607 3555 4345 5631 7821 9385 13035 16893 20647 28155 39105 61941 84465 103235 148283 185823 309705 444849 741415 929115 1334547 1631113 2224245 4893339 6672735 8155565 14680017 24466695 73400085