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24113120 = 255150707
BaseRepresentation
bin101101111111…
…0111111100000
31200101001222112
41123332333200
522133104440
62220454452
7411646433
oct133767740
950331875
1024113120
111267a5a9
1280aa428
134cc3625
1432b981a
1521b4965
hex16fefe0

24113120 has 24 divisors (see below), whose sum is σ = 56967624. Its totient is φ = 9645184.

The previous prime is 24113119. The next prime is 24113129. The reversal of 24113120 is 2131142.

It is a super-2 number, since 2×241131202 = 1162885112268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24113095 and 24113104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24113129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75194 + ... + 75513.

It is an arithmetic number, because the mean of its divisors is an integer number (2373651).

Almost surely, 224113120 is an apocalyptic number.

24113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24113120 is an abundant number, since it is smaller than the sum of its proper divisors (32854504).

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

24113120 is a wasteful number, since it uses less digits than its factorization.

24113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150722 (or 150714 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 24113120 is about 4910.5111750204. The cubic root of 24113120 is about 288.9023907781.

Adding to 24113120 its reverse (2131142), we get a palindrome (26244262).

The spelling of 24113120 in words is "twenty-four million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 150707 301414 602828 753535 1205656 1507070 2411312 3014140 4822624 6028280 12056560 24113120