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13220712 = 233397631
BaseRepresentation
bin110010011011…
…101101101000
3220212200102000
4302123231220
511341030322
61151211000
7220242231
oct62335550
926780360
1013220712
11750aa0a
124516a60
13297b80b
141a82088
1512623ac
hexc9bb68

13220712 has 64 divisors (see below), whose sum is σ = 37161600. Its totient is φ = 4354560.

The previous prime is 13220687. The next prime is 13220717. The reversal of 13220712 is 21702231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20637 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (580650).

Almost surely, 213220712 is an apocalyptic number.

13220712 is a gapful number since it is divisible by the number (12) 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 13220712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580800).

13220712 is an abundant number, since it is smaller than the sum of its proper divisors (23940888).

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

13220712 is a wasteful number, since it uses less digits than its factorization.

13220712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13220712 is about 3636.0297028490. The cubic root of 13220712 is about 236.4566948974.

Adding to 13220712 its reverse (21702231), we get a palindrome (34922943).

The spelling of 13220712 in words is "thirteen million, two hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 631 776 873 1164 1262 1746 1893 2328 2524 2619 3492 3786 5048 5238 5679 6984 7572 10476 11358 15144 17037 20952 22716 34074 45432 61207 68148 122414 136296 183621 244828 367242 489656 550863 734484 1101726 1468968 1652589 2203452 3305178 4406904 6610356 13220712