Search a number
-
+
24135030 = 2335711259
BaseRepresentation
bin101110000010…
…0010101110110
31200102012001000
41130010111312
522134310110
62221144130
7412100343
oct134042566
950365030
1024135030
1112695007
1280bb046
1350005aa
1432c37ca
1521bb1c0
hex1704576

24135030 has 64 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 6340320.

The previous prime is 24135029. The next prime is 24135031. The reversal of 24135030 is 3053142.

It is an interprime number because it is at equal distance from previous prime (24135029) and next prime (24135031).

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

It is a junction number, because it is equal to n+sod(n) for n = 24134994 and 24135012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24135031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18541 + ... + 19799.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 224135030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24135030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

24135030 is an abundant number, since it is smaller than the sum of its proper divisors (41183370).

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

24135030 is a wasteful number, since it uses less digits than its factorization.

24135030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 24135030 is about 4912.7415971126. The cubic root of 24135030 is about 288.9898664646.

Adding to 24135030 its reverse (3053142), we get a palindrome (27188172).

The spelling of 24135030 in words is "twenty-four million, one hundred thirty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 1065 1259 1278 1917 2130 2518 3195 3777 3834 6295 6390 7554 9585 11331 12590 18885 19170 22662 33993 37770 56655 67986 89389 113310 169965 178778 268167 339930 446945 536334 804501 893890 1340835 1609002 2413503 2681670 4022505 4827006 8045010 12067515 24135030