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252310420 = 22564119681
BaseRepresentation
bin11110000100111…
…11001110010100
3122120202200211101
433002133032110
51004042413140
641011515444
76152413615
oct1702371624
9576680741
10252310420
1111a47160a
12705b8b84
134037120b
142571bc0c
151723d99a
hexf09f394

252310420 has 24 divisors (see below), whose sum is σ = 530705448. Its totient is φ = 100761600.

The previous prime is 252310393. The next prime is 252310441. The reversal of 252310420 is 24013252.

It can be written as a sum of positive squares in 4 ways, for example, as 150945796 + 101364624 = 12286^2 + 10068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2980 + ... + 22660.

It is an arithmetic number, because the mean of its divisors is an integer number (22112727).

Almost surely, 2252310420 is an apocalyptic number.

252310420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252310420 is an abundant number, since it is smaller than the sum of its proper divisors (278395028).

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

252310420 is a wasteful number, since it uses less digits than its factorization.

252310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20331 (or 20329 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 252310420 is about 15884.2821682316. The cubic root of 252310420 is about 631.8952084173.

Adding to 252310420 its reverse (24013252), we get a palindrome (276323672).

The spelling of 252310420 in words is "two hundred fifty-two million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 19681 39362 78724 98405 196810 393620 12615521 25231042 50462084 63077605 126155210 252310420