Search a number
-
+
13227040 = 255192229
BaseRepresentation
bin110010011101…
…010000100000
3220220000002101
4302131100200
511341231130
61151300144
7220266541
oct62352040
926800071
1013227040
117514742
12451a654
132981668
141a844c8
1512641ca
hexc9d420

13227040 has 72 divisors (see below), whose sum is σ = 33124140. Its totient is φ = 4990464.

The previous prime is 13227031. The next prime is 13227077. The reversal of 13227040 is 4072231.

It can be written as a sum of positive squares in 2 ways, for example, as 12759184 + 467856 = 3572^2 + 684^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 13226999 and 13227017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57646 + ... + 57874.

Almost surely, 213227040 is an apocalyptic number.

13227040 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 13227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562070).

13227040 is an abundant number, since it is smaller than the sum of its proper divisors (19897100).

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

13227040 is a wasteful number, since it uses less digits than its factorization.

13227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 13227040 is about 3636.8997786576. The cubic root of 13227040 is about 236.4944149864.

Adding to 13227040 its reverse (4072231), we get a palindrome (17299271).

It can be divided in two parts, 132 and 27040, that added together give a palindrome (27172).

The spelling of 13227040 in words is "thirteen million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 229 304 361 380 458 608 722 760 916 1145 1444 1520 1805 1832 2290 2888 3040 3610 3664 4351 4580 5776 7220 7328 8702 9160 11552 14440 17404 18320 21755 28880 34808 36640 43510 57760 69616 82669 87020 139232 165338 174040 330676 348080 413345 661352 696160 826690 1322704 1653380 2645408 3306760 6613520 13227040