Search a number
-
+
24135012 = 223211591033
BaseRepresentation
bin101110000010…
…0010101100100
31200102012000100
41130010111210
522134310022
62221144100
7412100316
oct134042544
950365010
1024135012
1112694aa0
1280bb030
135000595
1432c37b6
1521bb1ac
hex1704564

24135012 has 72 divisors (see below), whose sum is σ = 67747680. Its totient is φ = 7182720.

The previous prime is 24134983. The next prime is 24135029. The reversal of 24135012 is 21053142.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22848 + ... + 23880.

It is an arithmetic number, because the mean of its divisors is an integer number (940940).

Almost surely, 224135012 is an apocalyptic number.

24135012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24135012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33873840).

24135012 is an abundant number, since it is smaller than the sum of its proper divisors (43612668).

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

24135012 is a wasteful number, since it uses less digits than its factorization.

24135012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 24135012 is about 4912.7397651412. The cubic root of 24135012 is about 288.9897946213.

Adding to 24135012 its reverse (21053142), we get a palindrome (45188154).

It can be divided in two parts, 241 and 35012, that added together give a palindrome (35253).

The spelling of 24135012 in words is "twenty-four million, one hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1033 1062 1298 1947 2066 2124 2596 3099 3894 4132 5841 6198 7788 9297 11363 11682 12396 18594 22726 23364 34089 37188 45452 60947 68178 102267 121894 136356 182841 204534 243788 365682 409068 548523 670417 731364 1097046 1340834 2011251 2194092 2681668 4022502 6033753 8045004 12067506 24135012