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2393840 = 245231301
BaseRepresentation
bin1001001000011011110000
311111121201202
421020123300
51103100330
6123150332
726230061
oct11103360
94447652
102393840
111395589
129753a8
1365a797
14464568
15324445
hex2486f0

2393840 has 40 divisors (see below), whose sum is σ = 5812128. Its totient is φ = 915200.

The previous prime is 2393837. The next prime is 2393849. The reversal of 2393840 is 483932.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2393849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1190 + ... + 2490.

22393840 is an apocalyptic number.

2393840 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 2393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906064).

2393840 is an abundant number, since it is smaller than the sum of its proper divisors (3418288).

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

2393840 is a wasteful number, since it uses less digits than its factorization.

2393840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 2393840 is about 1547.2039296744. The cubic root of 2393840 is about 133.7719444589.

The spelling of 2393840 in words is "two million, three hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1301 1840 2602 5204 6505 10408 13010 20816 26020 29923 52040 59846 104080 119692 149615 239384 299230 478768 598460 1196920 2393840