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13142430 = 2325723907
BaseRepresentation
bin110010001000…
…100110011110
3220201201000200
4302020212132
511331024210
61145404330
7216465060
oct62104636
926651020
1013142430
117467114
1244996a6
132951cb2
141a61730
1512490c0
hexc8899e

13142430 has 96 divisors (see below), whose sum is σ = 40794624. Its totient is φ = 2870208.

The previous prime is 13142417. The next prime is 13142431. The reversal of 13142430 is 3424131.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14037 + ... + 14943.

It is an arithmetic number, because the mean of its divisors is an integer number (424944).

Almost surely, 213142430 is an apocalyptic number.

13142430 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 13142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397312).

13142430 is an abundant number, since it is smaller than the sum of its proper divisors (27652194).

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

13142430 is a wasteful number, since it uses less digits than its factorization.

13142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13142430 is about 3625.2489569683. The cubic root of 13142430 is about 235.9890711208.

Adding to 13142430 its reverse (3424131), we get a palindrome (16566561).

The spelling of 13142430 in words is "thirteen million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 907 966 1035 1449 1610 1814 2070 2415 2721 2898 4535 4830 5442 6349 7245 8163 9070 12698 13605 14490 16326 19047 20861 27210 31745 38094 40815 41722 57141 62583 63490 81630 95235 104305 114282 125166 146027 187749 190470 208610 285705 292054 312915 375498 438081 571410 625830 730135 876162 938745 1314243 1460270 1877490 2190405 2628486 4380810 6571215 13142430