Search a number
-
+
24430120 = 23511134271
BaseRepresentation
bin101110100110…
…0011000101000
31200222011211021
41131030120220
522223230440
62231342224
7414436561
oct135143050
950864737
1024430120
1112876790
128221974
1350a49c0
14335d168
15222884a
hex174c628

24430120 has 64 divisors (see below), whose sum is σ = 64592640. Its totient is φ = 8198400.

The previous prime is 24430097. The next prime is 24430127. The reversal of 24430120 is 2103442.

It is a junction number, because it is equal to n+sod(n) for n = 24430094 and 24430103.

It is not an unprimeable number, because it can be changed into a prime (24430127) 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 15 ways as a sum of consecutive naturals, for example, 3585 + ... + 7855.

It is an arithmetic number, because the mean of its divisors is an integer number (1009260).

Almost surely, 224430120 is an apocalyptic number.

24430120 is a gapful number since it is divisible by the number (20) 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 24430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32296320).

24430120 is an abundant number, since it is smaller than the sum of its proper divisors (40162520).

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

24430120 is a wasteful number, since it uses less digits than its factorization.

24430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 24430120 is about 4942.6834816727. The cubic root of 24430120 is about 290.1628890690.

Adding to 24430120 its reverse (2103442), we get a palindrome (26533562).

The spelling of 24430120 in words is "twenty-four million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 4271 5720 8542 17084 21355 34168 42710 46981 55523 85420 93962 111046 170840 187924 222092 234905 277615 375848 444184 469810 555230 610753 939620 1110460 1221506 1879240 2220920 2443012 3053765 4886024 6107530 12215060 24430120