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24134130 = 23252389131
BaseRepresentation
bin101110000010…
…0000111110010
31200102010210200
41130010013302
522134243010
62221140030
7412064616
oct134040762
950363720
1024134130
1112694369
1280ba616
135000067
1432c3346
1521bacc0
hex17041f2

24134130 has 96 divisors (see below), whose sum is σ = 66718080. Its totient is φ = 6040320.

The previous prime is 24134129. The next prime is 24134141. The reversal of 24134130 is 3143142.

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

It is a Curzon number.

It is an unprimeable number.

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, 184165 + ... + 184295.

It is an arithmetic number, because the mean of its divisors is an integer number (694980).

Almost surely, 224134130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24134130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33359040).

24134130 is an abundant number, since it is smaller than the sum of its proper divisors (42583950).

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

24134130 is a wasteful number, since it uses less digits than its factorization.

24134130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

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

The square root of 24134130 is about 4912.6499977100. The cubic root of 24134130 is about 288.9862742570.

Adding to 24134130 its reverse (3143142), we get a palindrome (27277272).

The spelling of 24134130 in words is "twenty-four million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 89 90 115 131 138 178 207 230 262 267 345 393 414 445 534 655 690 786 801 890 1035 1179 1310 1335 1602 1965 2047 2070 2358 2670 3013 3930 4005 4094 5895 6026 6141 8010 9039 10235 11659 11790 12282 15065 18078 18423 20470 23318 27117 30130 30705 34977 36846 45195 54234 58295 61410 69954 90390 92115 104931 116590 135585 174885 184230 209862 268157 271170 349770 524655 536314 804471 1049310 1340785 1608942 2413413 2681570 4022355 4826826 8044710 12067065 24134130