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12442430 = 25711213113
BaseRepresentation
bin101111011101…
…101100111110
3212102010210202
4233131230332
511141124210
61122403502
7210521210
oct57355476
925363722
1012442430
117029200
124200592
1327684b0
14191c5b0
15115b9a5
hexbddb3e

12442430 has 96 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 3548160.

The previous prime is 12442429. The next prime is 12442513. The reversal of 12442430 is 3424421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110054 + ... + 110166.

It is an arithmetic number, because the mean of its divisors is an integer number (318402).

Almost surely, 212442430 is an apocalyptic number.

12442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12442430 is an abundant number, since it is smaller than the sum of its proper divisors (18124162).

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

12442430 is a wasteful number, since it uses less digits than its factorization.

12442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 12442430 is about 3527.3828825349. The cubic root of 12442430 is about 231.7226049440.

Adding to 12442430 its reverse (3424421), we get a palindrome (15866851).

Subtracting from 12442430 its reverse (3424421), we obtain a square (9018009 = 30032).

The spelling of 12442430 in words is "twelve million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 113 121 130 143 154 182 226 242 286 385 455 565 605 715 770 791 847 910 1001 1130 1210 1243 1430 1469 1573 1582 1694 2002 2486 2938 3146 3955 4235 5005 6215 7345 7865 7910 8470 8701 10010 10283 11011 12430 13673 14690 15730 16159 17402 20566 22022 27346 32318 43505 51415 55055 68365 80795 87010 95711 102830 110110 113113 136730 161590 177749 191422 226226 355498 478555 565565 888745 957110 1131130 1244243 1777490 2488486 6221215 12442430