Search a number
-
+
19307268 = 223319972
BaseRepresentation
bin100100110100…
…1101100000100
31100022220121000
41021221230010
514420313033
61525453300
7323052261
oct111515404
940286530
1019307268
11a997922
126571230
134000026
1427c8268
151a65a13
hex1269b04

19307268 has 72 divisors (see below), whose sum is σ = 53239200. Its totient is φ = 6034176.

The previous prime is 19307213. The next prime is 19307311. The reversal of 19307268 is 86270391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198996 + ... + 199092.

Almost surely, 219307268 is an apocalyptic number.

19307268 is a gapful number since it is divisible by the number (18) 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 19307268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619600).

19307268 is an abundant number, since it is smaller than the sum of its proper divisors (33931932).

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

19307268 is a wasteful number, since it uses less digits than its factorization.

19307268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19307268 is about 4394.0036413276. The cubic root of 19307268 is about 268.2709259941.

The spelling of 19307268 in words is "nineteen million, three hundred seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 97 108 114 171 194 228 291 342 388 513 582 684 873 1026 1164 1746 1843 2052 2619 3492 3686 5238 5529 7372 9409 10476 11058 16587 18818 22116 28227 33174 37636 49761 56454 66348 84681 99522 112908 169362 178771 199044 254043 338724 357542 508086 536313 715084 1016172 1072626 1608939 2145252 3217878 4826817 6435756 9653634 19307268