Search a number
-
+
19853028 = 22321359719
BaseRepresentation
bin100101110111…
…0111011100100
31101100122020100
41023232323210
520040244103
61545304100
7330514356
oct113567344
941318210
1019853028
111022a968
126795030
134161570
1428cb0d6
151b225a3
hex12eeee4

19853028 has 72 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 5996736.

The previous prime is 19853017. The next prime is 19853033. The reversal of 19853028 is 82035891.

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

It is a junction number, because it is equal to n+sod(n) for n = 19852983 and 19853001.

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, 27253 + ... + 27971.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 219853028 is an apocalyptic number.

19853028 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 19853028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

19853028 is an abundant number, since it is smaller than the sum of its proper divisors (35183772).

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

19853028 is a wasteful number, since it uses less digits than its factorization.

19853028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 19853028 is about 4455.6736864362. The cubic root of 19853028 is about 270.7752206257.

The spelling of 19853028 in words is "nineteen million, eight hundred fifty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 719 767 1062 1438 1534 2124 2157 2301 2876 3068 4314 4602 6471 6903 8628 9204 9347 12942 13806 18694 25884 27612 28041 37388 42421 56082 84123 84842 112164 127263 168246 169684 254526 336492 381789 509052 551473 763578 1102946 1527156 1654419 2205892 3308838 4963257 6617676 9926514 19853028