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13061430 = 23251031409
BaseRepresentation
bin110001110100…
…110100110110
3220120120220200
4301310310312
511320431210
61143541330
7216006654
oct61646466
926516820
1013061430
117411278
12445a846
132924175
141a3ddd4
1512300c0
hexc74d36

13061430 has 48 divisors (see below), whose sum is σ = 34313760. Its totient is φ = 3446784.

The previous prime is 13061429. The next prime is 13061431. The reversal of 13061430 is 3416031.

It is an interprime number because it is at equal distance from previous prime (13061429) and next prime (13061431).

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 (13061431) 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, 8566 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (714870).

Almost surely, 213061430 is an apocalyptic number.

13061430 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 13061430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156880).

13061430 is an abundant number, since it is smaller than the sum of its proper divisors (21252330).

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

13061430 is a wasteful number, since it uses less digits than its factorization.

13061430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13061430 is about 3614.0600437735. The cubic root of 13061430 is about 235.5032522845.

Adding to 13061430 its reverse (3416031), we get a palindrome (16477461).

The spelling of 13061430 in words is "thirteen million, sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1409 1545 1854 2818 3090 4227 4635 7045 8454 9270 12681 14090 21135 25362 42270 63405 126810 145127 290254 435381 725635 870762 1306143 1451270 2176905 2612286 4353810 6530715 13061430