Search a number
-
+
13047426 = 233724931
BaseRepresentation
bin110001110001…
…011010000010
3220112212201000
4301301122002
511320004201
61143352430
7215621100
oct61613202
926485630
1013047426
1174017a7
124452716
13291a992
141a38c70
15122ad86
hexc71682

13047426 has 48 divisors (see below), whose sum is σ = 33734880. Its totient is φ = 3727080.

The previous prime is 13047407. The next prime is 13047427. The reversal of 13047426 is 62474031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13047426.

It is not an unprimeable number, because it can be changed into a prime (13047427) 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, 181 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (702810).

Almost surely, 213047426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13047426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867440).

13047426 is an abundant number, since it is smaller than the sum of its proper divisors (20687454).

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

13047426 is a wasteful number, since it uses less digits than its factorization.

13047426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13047426 is about 3612.1220909598. The cubic root of 13047426 is about 235.4190561204.

The spelling of 13047426 in words is "thirteen million, forty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4931 9862 14793 29586 34517 44379 69034 88758 103551 133137 207102 241619 266274 310653 483238 621306 724857 931959 1449714 1863918 2174571 4349142 6523713 13047426