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13430430 = 2325132883
BaseRepresentation
bin110011001110…
…111010011110
3221021100002100
4303032322132
511414233210
61155505530
7222104526
oct63167236
927240070
1013430430
117643532
1245b82a6
132a23100
141ad8686
1512a45c0
hexccee9e

13430430 has 72 divisors (see below), whose sum is σ = 37854648. Its totient is φ = 3302208.

The previous prime is 13430429. The next prime is 13430437. The reversal of 13430430 is 3403431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14769 + ... + 15651.

It is an arithmetic number, because the mean of its divisors is an integer number (525759).

Almost surely, 213430430 is an apocalyptic number.

13430430 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 13430430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927324).

13430430 is an abundant number, since it is smaller than the sum of its proper divisors (24424218).

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

13430430 is a wasteful number, since it uses less digits than its factorization.

13430430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13430430 is about 3664.7551077801. The cubic root of 13430430 is about 237.7004328330.

Adding to 13430430 its reverse (3403431), we get a palindrome (16833861).

The spelling of 13430430 in words is "thirteen million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 883 1014 1170 1521 1690 1766 2535 2649 3042 4415 5070 5298 7605 7947 8830 11479 13245 15210 15894 22958 26490 34437 39735 57395 68874 79470 103311 114790 149227 172185 206622 298454 344370 447681 516555 746135 895362 1033110 1343043 1492270 2238405 2686086 4476810 6715215 13430430