Search a number
-
+
13322526 = 2371747397
BaseRepresentation
bin110010110100…
…100100011110
3221001212001220
4302310210132
511402310101
61153314210
7221145120
oct62644436
927055056
1013322526
11757a458
124565966
1329b5c69
141aab210
151282636
hexcb491e

13322526 has 64 divisors (see below), whose sum is σ = 33011712. Its totient is φ = 3497472.

The previous prime is 13322503. The next prime is 13322527. The reversal of 13322526 is 62522331.

13322526 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×133225263 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13322496 and 13322505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33360 + ... + 33756.

It is an arithmetic number, because the mean of its divisors is an integer number (515808).

Almost surely, 213322526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505856).

13322526 is an abundant number, since it is smaller than the sum of its proper divisors (19689186).

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

13322526 is a wasteful number, since it uses less digits than its factorization.

13322526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473.

The product of its digits is 2160, while the sum is 24.

The square root of 13322526 is about 3650.0035616421. The cubic root of 13322526 is about 237.0621354289.

Adding to 13322526 its reverse (62522331), we get a palindrome (75844857).

The spelling of 13322526 in words is "thirteen million, three hundred twenty-two thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 47 51 94 102 119 141 238 282 329 357 397 658 714 794 799 987 1191 1598 1974 2382 2397 2779 4794 5558 5593 6749 8337 11186 13498 16674 16779 18659 20247 33558 37318 40494 47243 55977 94486 111954 130613 141729 261226 283458 317203 391839 634406 783678 951609 1903218 2220421 4440842 6661263 13322526