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189810075 = 352721329137
BaseRepresentation
bin10110101000001…
…00010110011011
3111020011100110210
423110010112123
5342042410300
630500142203
74463234100
oct1324042633
9436140423
10189810075
1198163134
1253697963
133042a170
141b2ccaa7
15119e5050
hexb50459b

189810075 has 144 divisors (see below), whose sum is σ = 409661280. Its totient is φ = 76769280.

The previous prime is 189810059. The next prime is 189810079. The reversal of 189810075 is 570018981.

It is not a de Polignac number, because 189810075 - 24 = 189810059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (189810079) 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 143 ways as a sum of consecutive naturals, for example, 1385407 + ... + 1385543.

It is an arithmetic number, because the mean of its divisors is an integer number (2844870).

Almost surely, 2189810075 is an apocalyptic number.

189810075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

189810075 is an abundant number, since it is smaller than the sum of its proper divisors (219851205).

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

189810075 is a wasteful number, since it uses less digits than its factorization.

189810075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 189810075 is about 13777.1577257430. The cubic root of 189810075 is about 574.6980897736.

The spelling of 189810075 in words is "one hundred eighty-nine million, eight hundred ten thousand, seventy-five".

Divisors: 1 3 5 7 13 15 21 25 29 35 39 49 65 75 87 91 105 137 145 147 175 195 203 245 273 325 377 411 435 455 525 609 637 685 725 735 959 975 1015 1131 1225 1365 1421 1781 1885 1911 2055 2175 2275 2639 2877 3045 3185 3425 3675 3973 4263 4795 5075 5343 5655 6713 6825 7105 7917 8905 9425 9555 10275 11919 12467 13195 14385 15225 15925 18473 19865 20139 21315 23975 26715 27811 28275 33565 35525 37401 39585 44525 47775 51649 55419 59595 62335 65975 71925 83433 87269 92365 99325 100695 106575 133575 139055 154947 167825 187005 194677 197925 258245 261807 277095 297975 311675 361543 417165 436345 461825 503475 584031 695275 774735 935025 973385 1084629 1291225 1309035 1385475 1807715 2085825 2181725 2530801 2920155 3873675 4866925 5423145 6545175 7592403 9038575 12654005 14600775 27115725 37962015 63270025 189810075