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13313412 = 22327232297
BaseRepresentation
bin110010110010…
…010110000100
3221001101120100
4302302112010
511402012122
61153204100
7221106420
oct62622604
927041510
1013313412
117573622
124560630
1329b1a78
141aa7b80
15127eaac
hexcb2584

13313412 has 72 divisors (see below), whose sum is σ = 40150656. Its totient is φ = 3636864.

The previous prime is 13313411. The next prime is 13313429. The reversal of 13313412 is 21431331.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13313411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4648 + ... + 6944.

It is an arithmetic number, because the mean of its divisors is an integer number (557648).

Almost surely, 213313412 is an apocalyptic number.

13313412 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 13313412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20075328).

13313412 is an abundant number, since it is smaller than the sum of its proper divisors (26837244).

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

13313412 is a wasteful number, since it uses less digits than its factorization.

13313412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2332 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13313412 is about 3648.7548561119. The cubic root of 13313412 is about 237.0080646724.

Adding to 13313412 its reverse (21431331), we get a palindrome (34744743).

The spelling of 13313412 in words is "thirteen million, three hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2297 2898 4594 5796 6891 9188 13782 16079 20673 27564 32158 41346 48237 52831 64316 82692 96474 105662 144711 158493 192948 211324 289422 316986 369817 475479 578844 633972 739634 950958 1109451 1479268 1901916 2218902 3328353 4437804 6656706 13313412