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256740540 = 223571932173
BaseRepresentation
bin11110100110110…
…00110010111100
3122220002202210220
433103120302330
51011211144130
641250501340
76235154460
oct1723306274
9586082726
10256740540
11121a17a71
1271b94850
13412627a4
14261524a0
1517816410
hexf4d8cbc

256740540 has 96 divisors (see below), whose sum is σ = 864837120. Its totient is φ = 55593216.

The previous prime is 256740529. The next prime is 256740541. The reversal of 256740540 is 45047652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256740541) 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, 8107 + ... + 24066.

It is an arithmetic number, because the mean of its divisors is an integer number (9008720).

Almost surely, 2256740540 is an apocalyptic number.

256740540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256740540 is an abundant number, since it is smaller than the sum of its proper divisors (608096580).

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

256740540 is a wasteful number, since it uses less digits than its factorization.

256740540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32211 (or 32209 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 256740540 is about 16023.1251633381. The cubic root of 256740540 is about 635.5720886470.

The spelling of 256740540 in words is "two hundred fifty-six million, seven hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 32173 64346 96519 128692 160865 193038 225211 321730 386076 450422 482595 611287 643460 675633 900844 965190 1126055 1222574 1351266 1833861 1930380 2252110 2445148 2702532 3056435 3378165 3667722 4279009 4504220 6112870 6756330 7335444 8558018 9169305 12225740 12837027 13512660 17116036 18338610 21395045 25674054 36677220 42790090 51348108 64185135 85580180 128370270 256740540