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12422320 = 245315009
BaseRepresentation
bin101111011000…
…110010110000
3212101010012221
4233120302300
511140003240
61122130424
7210405451
oct57306260
925333187
1012422320
117015089
1241b0a14
13275c2b1
141915128
151155a4a
hexbd8cb0

12422320 has 40 divisors (see below), whose sum is σ = 29819520. Its totient is φ = 4807680.

The previous prime is 12422309. The next prime is 12422329. The reversal of 12422320 is 2322421.

12422320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12422294 and 12422303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 4984.

It is an arithmetic number, because the mean of its divisors is an integer number (745488).

Almost surely, 212422320 is an apocalyptic number.

12422320 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 12422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909760).

12422320 is an abundant number, since it is smaller than the sum of its proper divisors (17397200).

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

12422320 is a wasteful number, since it uses less digits than its factorization.

12422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12422320 is about 3524.5311744968. The cubic root of 12422320 is about 231.5976975539.

Adding to 12422320 its reverse (2322421), we get a palindrome (14744741).

The spelling of 12422320 in words is "twelve million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 5009 10018 20036 25045 40072 50090 80144 100180 155279 200360 310558 400720 621116 776395 1242232 1552790 2484464 3105580 6211160 12422320