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256101260 = 22517711032
BaseRepresentation
bin11110100001111…
…00101110001100
3122211220021212212
433100330232030
51011030220020
641225045552
76226552622
oct1720745614
9584807785
10256101260
11121620738
12719268b8
134109a80c
1426027512
151773bcc5
hexf43cb8c

256101260 has 72 divisors (see below), whose sum is σ = 583130016. Its totient is φ = 94133760.

The previous prime is 256101257. The next prime is 256101283. The reversal of 256101260 is 62101652.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2486369 + ... + 2486471.

It is an arithmetic number, because the mean of its divisors is an integer number (8099028).

Almost surely, 2256101260 is an apocalyptic number.

256101260 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 256101260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291565008).

256101260 is an abundant number, since it is smaller than the sum of its proper divisors (327028756).

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

256101260 is a wasteful number, since it uses less digits than its factorization.

256101260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 256101260 is about 16003.1640621472. The cubic root of 256101260 is about 635.0441286215.

The spelling of 256101260 in words is "two hundred fifty-six million, one hundred one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 103 142 170 206 284 340 355 412 515 710 1030 1207 1420 1751 2060 2414 3502 4828 6035 7004 7313 8755 10609 12070 14626 17510 21218 24140 29252 35020 36565 42436 53045 73130 106090 124321 146260 180353 212180 248642 360706 497284 621605 721412 753239 901765 1243210 1506478 1803530 2486420 3012956 3607060 3766195 7532390 12805063 15064780 25610126 51220252 64025315 128050630 256101260