Search a number
-
+
19273023 = 32721129137
BaseRepresentation
bin100100110000…
…1010100111111
31100021011121200
41021201110333
514413214043
61525030543
7322550400
oct111412477
940234550
1019273023
11a974120
126555453
133cba573
1427b99a7
151a5a7d3
hex126153f

19273023 has 72 divisors (see below), whose sum is σ = 36812880. Its totient is φ = 9596160.

The previous prime is 19273013. The next prime is 19273031. The reversal of 19273023 is 32037291.

It is not a de Polignac number, because 19273023 - 25 = 19272991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19273003) by changing a digit.

It is a Kaprekar number, because its square (371449415558529) can be partitioned into two parts whose sum is 19273023.

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 71 ways as a sum of consecutive naturals, for example, 140611 + ... + 140747.

It is an arithmetic number, because the mean of its divisors is an integer number (511290).

Almost surely, 219273023 is an apocalyptic number.

19273023 is a deficient number, since it is larger than the sum of its proper divisors (17539857).

19273023 is a wasteful number, since it uses less digits than its factorization.

19273023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 19273023 is about 4390.1051240261. The cubic root of 19273023 is about 268.1122228087.

It can be divided in two parts, 1927 and 3023, that added together give a triangular number (4950 = T99).

The spelling of 19273023 in words is "nineteen million, two hundred seventy-three thousand, twenty-three".

Divisors: 1 3 7 9 11 21 29 33 49 63 77 87 99 137 147 203 231 261 319 411 441 539 609 693 957 959 1233 1421 1507 1617 1827 2233 2871 2877 3973 4263 4521 4851 6699 6713 8631 10549 11919 12789 13563 15631 20097 20139 27811 31647 35757 43703 46893 60417 73843 83433 94941 131109 140679 194677 221529 250299 305921 393327 584031 664587 917763 1752093 2141447 2753289 6424341 19273023