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12822940 = 22513149331
BaseRepresentation
bin110000111010…
…100110011100
3220010110202201
4300322212130
511240313230
61134501244
7213664444
oct60724634
926113681
1012822940
117269079
124364824
13286c750
1419bb124
1511d45ca
hexc3a99c

12822940 has 48 divisors (see below), whose sum is σ = 29282400. Its totient is φ = 4688640.

The previous prime is 12822917. The next prime is 12822941. The reversal of 12822940 is 4922821.

12822940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12822899 and 12822908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12822941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38575 + ... + 38905.

It is an arithmetic number, because the mean of its divisors is an integer number (610050).

Almost surely, 212822940 is an apocalyptic number.

12822940 is a gapful number since it is divisible by the number (10) 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 12822940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641200).

12822940 is an abundant number, since it is smaller than the sum of its proper divisors (16459460).

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

12822940 is a wasteful number, since it uses less digits than its factorization.

12822940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12822940 is about 3580.9132913267. The cubic root of 12822940 is about 234.0610793388.

The spelling of 12822940 in words is "twelve million, eight hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 331 596 662 745 1324 1490 1655 1937 2980 3310 3874 4303 6620 7748 8606 9685 17212 19370 21515 38740 43030 49319 86060 98638 197276 246595 493190 641147 986380 1282294 2564588 3205735 6411470 12822940