Search a number
-
+
13088430 = 2325413547
BaseRepresentation
bin110001111011…
…011010101110
3220121221221200
4301323122232
511322312210
61144310330
7216151455
oct61733256
926557850
1013088430
11742a593
1244723a6
132933544
141a49b9c
1512380c0
hexc7b6ae

13088430 has 48 divisors (see below), whose sum is σ = 34869744. Its totient is φ = 3404160.

The previous prime is 13088423. The next prime is 13088431. The reversal of 13088430 is 3488031.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13088394 and 13088403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13088431) 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, 1917 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (726453).

Almost surely, 213088430 is an apocalyptic number.

13088430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13088430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434872).

13088430 is an abundant number, since it is smaller than the sum of its proper divisors (21781314).

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

13088430 is a wasteful number, since it uses less digits than its factorization.

13088430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13088430 is about 3617.7935264467. The cubic root of 13088430 is about 235.6654145041.

The spelling of 13088430 in words is "thirteen million, eighty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3547 3690 7094 10641 17735 21282 31923 35470 53205 63846 106410 145427 159615 290854 319230 436281 727135 872562 1308843 1454270 2181405 2617686 4362810 6544215 13088430