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24790240 = 255413779
BaseRepresentation
bin101111010010…
…0010011100000
31201122110211001
41132210103200
522321241430
62243201344
7420466516
oct136442340
951573731
1024790240
1112aa2302
128376254
13519c8a7
1434144b6
15229a3ca
hex17a44e0

24790240 has 48 divisors (see below), whose sum is σ = 60011280. Its totient is φ = 9671680.

The previous prime is 24790237. The next prime is 24790261. The reversal of 24790240 is 4209742.

It is a super-2 number, since 2×247902402 = 1229111998515200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24790199 and 24790208.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4671 + ... + 8449.

It is an arithmetic number, because the mean of its divisors is an integer number (1250235).

Almost surely, 224790240 is an apocalyptic number.

24790240 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 24790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30005640).

24790240 is an abundant number, since it is smaller than the sum of its proper divisors (35221040).

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

24790240 is a wasteful number, since it uses less digits than its factorization.

24790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 24790240 is about 4978.9798151830. The cubic root of 24790240 is about 291.5816866258.

Adding to 24790240 its reverse (4209742), we get a palindrome (28999982).

The spelling of 24790240 in words is "twenty-four million, seven hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 3779 6560 7558 15116 18895 30232 37790 60464 75580 120928 151160 154939 302320 309878 604640 619756 774695 1239512 1549390 2479024 3098780 4958048 6197560 12395120 24790240