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13233430 = 2572113239
BaseRepresentation
bin110010011110…
…110100010110
3220220022212001
4302132310112
511341432210
61151345514
7220324300
oct62366426
926808761
1013233430
117519521
12452229a
132984542
141a86970
15126603a
hexc9ed16

13233430 has 48 divisors (see below), whose sum is σ = 28071360. Its totient is φ = 4478208.

The previous prime is 13233413. The next prime is 13233433. The reversal of 13233430 is 3433231.

It is a junction number, because it is equal to n+sod(n) for n = 13233398 and 13233407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55251 + ... + 55489.

It is an arithmetic number, because the mean of its divisors is an integer number (584820).

Almost surely, 213233430 is an apocalyptic number.

13233430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13233430 is an abundant number, since it is smaller than the sum of its proper divisors (14837930).

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

13233430 is a wasteful number, since it uses less digits than its factorization.

13233430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 13233430 is about 3637.7781680581. The cubic root of 13233430 is about 236.5324924404.

Adding to 13233430 its reverse (3433231), we get a palindrome (16666661).

It can be divided in two parts, 1323 and 3430, that added together give a triangular number (4753 = T97).

The spelling of 13233430 in words is "thirteen million, two hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 113 226 239 245 478 490 565 791 1130 1195 1582 1673 2390 3346 3955 5537 7910 8365 11074 11711 16730 23422 27007 27685 54014 55370 58555 117110 135035 189049 270070 378098 945245 1323343 1890490 2646686 6616715 13233430