Search a number
-
+
20992842 = 23213267103
BaseRepresentation
bin101000000010…
…1001101001010
31110111112202200
41100011031022
520333232332
62025541030
7343302423
oct120051512
943445680
1020992842
1110939262
127044776
134470300
142b0664a
151c9a17c
hex140534a

20992842 has 72 divisors (see below), whose sum is σ = 50472864. Its totient is φ = 6301152.

The previous prime is 20992819. The next prime is 20992843. The reversal of 20992842 is 24829902.

It is a junction number, because it is equal to n+sod(n) for n = 20992797 and 20992806.

It is not an unprimeable number, because it can be changed into a prime (20992843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203763 + ... + 203865.

It is an arithmetic number, because the mean of its divisors is an integer number (701012).

Almost surely, 220992842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20992842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25236432).

20992842 is an abundant number, since it is smaller than the sum of its proper divisors (29480022).

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

20992842 is a wasteful number, since it uses less digits than its factorization.

20992842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

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

The square root of 20992842 is about 4581.7946265628. The cubic root of 20992842 is about 275.8610674421.

The spelling of 20992842 in words is "twenty million, nine hundred ninety-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 103 117 134 169 201 206 234 309 338 402 507 603 618 871 927 1014 1206 1339 1521 1742 1854 2613 2678 3042 4017 5226 6901 7839 8034 11323 12051 13802 15678 17407 20703 22646 24102 33969 34814 41406 52221 62109 67938 89713 101907 104442 124218 156663 179426 203814 269139 313326 538278 807417 1166269 1614834 2332538 3498807 6997614 10496421 20992842