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256970260 = 225231015531
BaseRepresentation
bin11110101000100…
…00111000010100
3122220112102221001
433110100320110
51011241022020
641255433044
76240132301
oct1724207024
9586472831
10256970260
11122064618
1272085784
1341313211
14261b20a8
151785e50a
hexf510e14

256970260 has 48 divisors (see below), whose sum is σ = 568778112. Its totient is φ = 97328000.

The previous prime is 256970257. The next prime is 256970267. The reversal of 256970260 is 62079652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256970267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43695 + ... + 49225.

It is an arithmetic number, because the mean of its divisors is an integer number (11849544).

Almost surely, 2256970260 is an apocalyptic number.

256970260 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 256970260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284389056).

256970260 is an abundant number, since it is smaller than the sum of its proper divisors (311807852).

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

256970260 is a wasteful number, since it uses less digits than its factorization.

256970260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 256970260 is about 16030.2919499303. The cubic root of 256970260 is about 635.7615926705.

The spelling of 256970260 in words is "two hundred fifty-six million, nine hundred seventy thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 505 1010 2020 2323 4646 5531 9292 11062 11615 22124 23230 27655 46460 55310 110620 127213 254426 508852 558631 636065 1117262 1272130 2234524 2544260 2793155 5586310 11172620 12848513 25697026 51394052 64242565 128485130 256970260