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256830120 = 23325713417
BaseRepresentation
bin11110100111011…
…10101010101000
3122220021022200200
433103232222220
51011222030440
641252432200
76236006601
oct1723565250
9586238620
10256830120
11121a792a8
1272018660
13412944b1
1426176da8
1517832c30
hexf4eeaa8

256830120 has 48 divisors (see below), whose sum is σ = 834699060. Its totient is φ = 68487936.

The previous prime is 256830113. The next prime is 256830139. The reversal of 256830120 is 21038652.

It can be written as a sum of positive squares in 2 ways, for example, as 256448196 + 381924 = 16014^2 + 618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356349 + ... + 357068.

Almost surely, 2256830120 is an apocalyptic number.

256830120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256830120 is an abundant number, since it is smaller than the sum of its proper divisors (577868940).

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

256830120 is a wasteful number, since it uses less digits than its factorization.

256830120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713434 (or 713427 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 256830120 is about 16025.9202543879. The cubic root of 256830120 is about 635.6459997471.

Adding to 256830120 its reverse (21038652), we get a palindrome (277868772).

The spelling of 256830120 in words is "two hundred fifty-six million, eight hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 713417 1426834 2140251 2853668 3567085 4280502 5707336 6420753 7134170 8561004 10701255 12841506 14268340 17122008 21402510 25683012 28536680 32103765 42805020 51366024 64207530 85610040 128415060 256830120