Search a number
-
+
20983356 = 223229101199
BaseRepresentation
bin101000000001…
…0111000111100
31110111001202100
41100002320330
520332431411
62025425100
7343232652
oct120027074
943431670
1020983356
1110932119
12703b190
134468bb4
142b02dd2
151c97456
hex1402e3c

20983356 has 72 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 6652800.

The previous prime is 20983351. The next prime is 20983357. The reversal of 20983356 is 65338902.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20983356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20983351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105345 + ... + 105543.

It is an arithmetic number, because the mean of its divisors is an integer number (773500).

Almost surely, 220983356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20983356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

20983356 is an abundant number, since it is smaller than the sum of its proper divisors (34708644).

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

20983356 is a wasteful number, since it uses less digits than its factorization.

20983356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20983356 is about 4580.7593257014. The cubic root of 20983356 is about 275.8195102241.

The spelling of 20983356 in words is "twenty million, nine hundred eighty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 174 199 202 261 303 348 398 404 522 597 606 796 909 1044 1194 1212 1791 1818 2388 2929 3582 3636 5771 5858 7164 8787 11542 11716 17313 17574 20099 23084 26361 34626 35148 40198 51939 52722 60297 69252 80396 103878 105444 120594 180891 207756 241188 361782 582871 723564 1165742 1748613 2331484 3497226 5245839 6994452 10491678 20983356