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13221340 = 22511193163
BaseRepresentation
bin110010011011…
…110111011100
3220212201021021
4302123313130
511341040330
61151213524
7220244116
oct62336734
926781237
1013221340
117510430
1245172a4
13297bba2
141a823b6
15126267a
hexc9bddc

13221340 has 48 divisors (see below), whose sum is σ = 31893120. Its totient is φ = 4553280.

The previous prime is 13221337. The next prime is 13221347. The reversal of 13221340 is 4312231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221347) 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, 2599 + ... + 5761.

It is an arithmetic number, because the mean of its divisors is an integer number (664440).

Almost surely, 213221340 is an apocalyptic number.

13221340 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 13221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946560).

13221340 is an abundant number, since it is smaller than the sum of its proper divisors (18671780).

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

13221340 is a wasteful number, since it uses less digits than its factorization.

13221340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13221340 is about 3636.1160597539. The cubic root of 13221340 is about 236.4604388323.

Adding to 13221340 its reverse (4312231), we get a palindrome (17533571).

It can be divided in two parts, 1322 and 1340, that added together give a palindrome (2662).

The spelling of 13221340 in words is "thirteen million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 3163 4180 6326 12652 15815 31630 34793 60097 63260 69586 120194 139172 173965 240388 300485 347930 600970 661067 695860 1201940 1322134 2644268 3305335 6610670 13221340