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13004430 = 2352347401
BaseRepresentation
bin110001100110…
…111010001110
3220110200201120
4301212322032
511312120210
61142421410
7215351535
oct61467216
926420646
1013004430
11738246a
124431866
13290423a
141a2731c
15121d270
hexc66e8e

13004430 has 64 divisors (see below), whose sum is σ = 33343488. Its totient is φ = 3238400.

The previous prime is 13004393. The next prime is 13004449. The reversal of 13004430 is 3440031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32230 + ... + 32630.

It is an arithmetic number, because the mean of its divisors is an integer number (520992).

Almost surely, 213004430 is an apocalyptic number.

13004430 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 13004430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671744).

13004430 is an abundant number, since it is smaller than the sum of its proper divisors (20339058).

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

13004430 is a wasteful number, since it uses less digits than its factorization.

13004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13004430 is about 3606.1655536040. The cubic root of 13004430 is about 235.1601744892.

Adding to 13004430 its reverse (3440031), we get a palindrome (16444461).

The spelling of 13004430 in words is "thirteen million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 230 235 282 345 401 470 690 705 802 1081 1203 1410 2005 2162 2406 3243 4010 5405 6015 6486 9223 10810 12030 16215 18446 18847 27669 32430 37694 46115 55338 56541 92230 94235 113082 138345 188470 276690 282705 433481 565410 866962 1300443 2167405 2600886 4334810 6502215 13004430