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12522320 = 245157997
BaseRepresentation
bin101111110001…
…001101010000
3212120012101122
4233301031100
511201203240
61124221412
7211303136
oct57611520
925505348
1012522320
117083228
12423a868
132795975
14193d756
1511754b5
hexbf1350

12522320 has 40 divisors (see below), whose sum is σ = 29329224. Its totient is φ = 4972032.

The previous prime is 12522277. The next prime is 12522329. The reversal of 12522320 is 2322521.

12522320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2050624 + 10471696 = 1432^2 + 3236^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12522329) 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, 12062 + ... + 13058.

Almost surely, 212522320 is an apocalyptic number.

12522320 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 12522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664612).

12522320 is an abundant number, since it is smaller than the sum of its proper divisors (16806904).

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

12522320 is a wasteful number, since it uses less digits than its factorization.

12522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 12522320 is about 3538.6890227880. The cubic root of 12522320 is about 232.2174932286.

Adding to 12522320 its reverse (2322521), we get a palindrome (14844841).

The spelling of 12522320 in words is "twelve million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 997 1256 1570 1994 2512 3140 3988 4985 6280 7976 9970 12560 15952 19940 39880 79760 156529 313058 626116 782645 1252232 1565290 2504464 3130580 6261160 12522320