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19185012 = 2234711769
BaseRepresentation
bin100100100101…
…1110101110100
31100002200220000
41021023311310
514402410022
61523111300
7322032660
oct111136564
940080800
1019185012
11a913a90
126512530
133c894a2
1427958a0
151a3e6ac
hex124bd74

19185012 has 120 divisors (see below), whose sum is σ = 62610240. Its totient is φ = 4976640.

The previous prime is 19185011. The next prime is 19185031. The reversal of 19185012 is 21058191.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19185011) 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 39 ways as a sum of consecutive naturals, for example, 24564 + ... + 25332.

It is an arithmetic number, because the mean of its divisors is an integer number (521752).

Almost surely, 219185012 is an apocalyptic number.

19185012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19185012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31305120).

19185012 is an abundant number, since it is smaller than the sum of its proper divisors (43425228).

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

19185012 is a wasteful number, since it uses less digits than its factorization.

19185012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 19185012 is about 4380.0698624565. The cubic root of 19185012 is about 267.7034850816.

The spelling of 19185012 in words is "nineteen million, one hundred eighty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 769 891 924 1134 1188 1386 1538 1782 2079 2268 2307 2772 3076 3564 4158 4614 5383 6237 6921 8316 8459 9228 10766 12474 13842 16149 16918 20763 21532 24948 25377 27684 32298 33836 41526 48447 50754 59213 62289 64596 76131 83052 96894 101508 118426 124578 145341 152262 177639 193788 228393 236852 249156 290682 304524 355278 436023 456786 532917 581364 685179 710556 872046 913572 1065834 1370358 1598751 1744092 2131668 2740716 3197502 4796253 6395004 9592506 19185012