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24890040 = 23325721783
BaseRepresentation
bin101111011110…
…0101010111000
31201211112201100
41132330222320
522332440130
62245251400
7421363500
oct136745270
951745640
1024890040
111306028a
128403b60
135206146
14343ca00
1522b9c60
hex17bcab8

24890040 has 288 divisors, whose sum is σ = 100835280. Its totient is φ = 5289984.

The previous prime is 24890017. The next prime is 24890051. The reversal of 24890040 is 4009842.

24890040 is a nontrivial binomial coefficient, being equal to C(7056, 2).

It is a junction number, because it is equal to n+sod(n) for n = 24889986 and 24890013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299839 + ... + 299921.

Almost surely, 224890040 is an apocalyptic number.

24890040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24890040 is the 7055-th triangular number and also the 3528-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

24890040 is an abundant number, since it is smaller than the sum of its proper divisors (75945240).

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

24890040 is a wasteful number, since it uses less digits than its factorization.

24890040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 24890040 is about 4988.9918821341. The cubic root of 24890040 is about 291.9724437623.

Adding to 24890040 its reverse (4009842), we get a palindrome (28899882).

The spelling of 24890040 in words is "twenty-four million, eight hundred ninety thousand, forty".