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24138030 = 2357137839
BaseRepresentation
bin101110000010…
…1000100101110
31200102100011010
41130011010232
522134404110
62221210050
7412112160
oct134050456
950370133
1024138030
1112697294
128100926
135001a77
1432c4930
1521bc020
hex170512e

24138030 has 64 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 5470464.

The previous prime is 24138029. The next prime is 24138031. The reversal of 24138030 is 3083142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24138029) and next prime (24138031).

It is a super-3 number, since 3×241380303 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 24137988 and 24138006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24138031) 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 31 ways as a sum of consecutive naturals, for example, 28351 + ... + 29189.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 224138030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24138030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384960).

24138030 is an abundant number, since it is smaller than the sum of its proper divisors (42631890).

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

24138030 is a wasteful number, since it uses less digits than its factorization.

24138030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 24138030 is about 4913.0469161204. The cubic root of 24138030 is about 289.0018398449.

The spelling of 24138030 in words is "twenty-four million, one hundred thirty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 822 839 959 1370 1678 1918 2055 2517 2877 4110 4195 4795 5034 5754 5873 8390 9590 11746 12585 14385 17619 25170 28770 29365 35238 58730 88095 114943 176190 229886 344829 574715 689658 804601 1149430 1609202 1724145 2413803 3448290 4023005 4827606 8046010 12069015 24138030