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256740260 = 225723711123
BaseRepresentation
bin11110100110110…
…00101110100100
3122220002202102112
433103120232210
51011211142020
641250500152
76235153610
oct1723305644
9586082375
10256740260
11121a17837
1271b94658
134126261a
1426152340
15178162c5
hexf4d8ba4

256740260 has 96 divisors (see below), whose sum is σ = 652603392. Its totient is φ = 82938240.

The previous prime is 256740259. The next prime is 256740269. The reversal of 256740260 is 62047652.

It is a super-2 number, since 2×2567402602 = 131831122209735200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256740269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228059 + ... + 229181.

It is an arithmetic number, because the mean of its divisors is an integer number (6797952).

Almost surely, 2256740260 is an apocalyptic number.

256740260 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 256740260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326301696).

256740260 is an abundant number, since it is smaller than the sum of its proper divisors (395863132).

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

256740260 is a wasteful number, since it uses less digits than its factorization.

256740260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 256740260 is about 16023.1164259641. The cubic root of 256740260 is about 635.5718575963.

The spelling of 256740260 in words is "two hundred fifty-six million, seven hundred forty thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 71 92 115 140 142 161 230 284 322 355 460 497 644 710 805 994 1123 1420 1610 1633 1988 2246 2485 3220 3266 4492 4970 5615 6532 7861 8165 9940 11230 11431 15722 16330 22460 22862 25829 31444 32660 39305 45724 51658 57155 78610 79733 103316 114310 129145 157220 159466 180803 228620 258290 318932 361606 398665 516580 558131 723212 797330 904015 1116262 1594660 1808030 1833859 2232524 2790655 3616060 3667718 5581310 7335436 9169295 11162620 12837013 18338590 25674026 36677180 51348052 64185065 128370130 256740260