Search a number
-
+
13250052 = 22324147191
BaseRepresentation
bin110010100010…
…111000000100
3220221011122200
4302202320010
511343000202
61151554500
7220423614
oct62427004
926834580
1013250052
11752aa62
12452ba30
13298bc8a
141a8ca44
15126ae1c
hexca2e04

13250052 has 72 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 4195200.

The previous prime is 13250009. The next prime is 13250101. The reversal of 13250052 is 25005231.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69277 + ... + 69467.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 213250052 is an apocalyptic number.

13250052 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 13250052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

13250052 is an abundant number, since it is smaller than the sum of its proper divisors (21973500).

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

13250052 is a wasteful number, since it uses less digits than its factorization.

13250052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13250052 is about 3640.0620873826. The cubic root of 13250052 is about 236.6314841130.

Adding to 13250052 its reverse (25005231), we get a palindrome (38255283).

The spelling of 13250052 in words is "thirteen million, two hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 191 246 282 369 382 423 492 564 573 738 764 846 1146 1476 1692 1719 1927 2292 3438 3854 5781 6876 7708 7831 8977 11562 15662 17343 17954 23124 23493 26931 31324 34686 35908 46986 53862 69372 70479 80793 93972 107724 140958 161586 281916 323172 368057 736114 1104171 1472228 2208342 3312513 4416684 6625026 13250052