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124223085 = 3357289211
BaseRepresentation
bin1110110011101…
…11111001101101
322122202012001000
413121313321231
5223300114320
620154310513
73035610300
oct731677155
9278665030
10124223085
1164136708
1235728439
131c9751ac
14126d8b37
15ad8bc90
hex7677e6d

124223085 has 96 divisors (see below), whose sum is σ = 261014400. Its totient is φ = 55883520.

The previous prime is 124223081. The next prime is 124223119. The reversal of 124223085 is 580322421.

It is not a de Polignac number, because 124223085 - 22 = 124223081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124223081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 588630 + ... + 588840.

It is an arithmetic number, because the mean of its divisors is an integer number (2718900).

Almost surely, 2124223085 is an apocalyptic number.

124223085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

124223085 is an abundant number, since it is smaller than the sum of its proper divisors (136791315).

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

124223085 is a wasteful number, since it uses less digits than its factorization.

124223085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 124223085 is about 11145.5410366657. The cubic root of 124223085 is about 498.9619597696.

The spelling of 124223085 in words is "one hundred twenty-four million, two hundred twenty-three thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 89 105 135 147 189 211 245 267 315 441 445 623 633 735 801 945 1055 1323 1335 1477 1869 1899 2205 2403 3115 3165 4005 4361 4431 5607 5697 6615 7385 9345 9495 10339 12015 13083 13293 16821 18779 21805 22155 28035 28485 31017 39249 39879 51695 56337 65415 66465 84105 93051 93895 117747 131453 155085 169011 196245 199395 279153 281685 394359 465255 507033 588735 657265 845055 920171 1183077 1395765 1971795 2535165 2760513 3549231 4600855 5915385 8281539 13802565 17746155 24844617 41407695 124223085