Search a number
-
+
13112442 = 234731373
BaseRepresentation
bin110010000001…
…010001111010
3220200011220000
4302001101322
511324044232
61145013430
7216311460
oct62012172
926604800
1013112442
117446632
124484276
132941455
141a54830
15124027c
hexc8147a

13112442 has 80 divisors (see below), whose sum is σ = 34755072. Its totient is φ = 3615840.

The previous prime is 13112431. The next prime is 13112443. The reversal of 13112442 is 24421131.

It is a super-2 number, since 2×131124422 = 343872270406728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13112443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34968 + ... + 35340.

Almost surely, 213112442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377536).

13112442 is an abundant number, since it is smaller than the sum of its proper divisors (21642630).

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

13112442 is a wasteful number, since it uses less digits than its factorization.

13112442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13112442 is about 3621.1106031161. The cubic root of 13112442 is about 235.8094435159.

Adding to 13112442 its reverse (24421131), we get a palindrome (37533573).

The spelling of 13112442 in words is "thirteen million, one hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 373 378 434 558 567 651 746 837 1119 1134 1302 1674 1953 2238 2511 2611 3357 3906 5022 5222 5859 6714 7833 10071 11563 11718 15666 17577 20142 23126 23499 30213 34689 35154 46998 60426 69378 70497 80941 104067 140994 161882 208134 211491 242823 312201 422982 485646 624402 728469 936603 1456938 1873206 2185407 4370814 6556221 13112442