Search a number
-
+
20924982 = 23213223401
BaseRepresentation
bin100111111010…
…0101000110110
31110101002200100
41033310220312
520324044412
62024254530
7342600531
oct117645066
943332610
1020924982
11108a2281
127011446
134448460
142ac9a18
151c84edc
hex13f4a36

20924982 has 48 divisors (see below), whose sum is σ = 49166208. Its totient is φ = 6393600.

The previous prime is 20924957. The next prime is 20924987. The reversal of 20924982 is 28942902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20924987) 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, 51982 + ... + 52382.

It is an arithmetic number, because the mean of its divisors is an integer number (1024296).

Almost surely, 220924982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20924982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24583104).

20924982 is an abundant number, since it is smaller than the sum of its proper divisors (28241226).

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

20924982 is a wasteful number, since it uses less digits than its factorization.

20924982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20924982 is about 4574.3832371151. The cubic root of 20924982 is about 275.5635034875.

The spelling of 20924982 in words is "twenty million, nine hundred twenty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 223 234 401 446 669 802 1203 1338 2007 2406 2899 3609 4014 5213 5798 7218 8697 10426 15639 17394 26091 31278 46917 52182 89423 93834 178846 268269 536538 804807 1162499 1609614 2324998 3487497 6974994 10462491 20924982