Search a number
-
+
12820830 = 2351138851
BaseRepresentation
bin110000111010…
…000101011110
3220010100212120
4300322011132
511240231310
61134443410
7213655341
oct60720536
926110776
1012820830
117267530
124363566
13286b7b9
1419ba458
1511d3b70
hexc3a15e

12820830 has 32 divisors (see below), whose sum is σ = 33568128. Its totient is φ = 3108000.

The previous prime is 12820817. The next prime is 12820849. The reversal of 12820830 is 3802821.

12820830 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12820830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19096 + ... + 19755.

It is an arithmetic number, because the mean of its divisors is an integer number (1049004).

Almost surely, 212820830 is an apocalyptic number.

12820830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12820830 is an abundant number, since it is smaller than the sum of its proper divisors (20747298).

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

12820830 is a wasteful number, since it uses less digits than its factorization.

12820830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38872.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12820830 is about 3580.6186616282. The cubic root of 12820830 is about 234.0482404743.

Subtracting from 12820830 its reverse (3802821), we obtain a square (9018009 = 30032).

The spelling of 12820830 in words is "twelve million, eight hundred twenty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 38851 77702 116553 194255 233106 388510 427361 582765 854722 1165530 1282083 2136805 2564166 4273610 6410415 12820830