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255689940 = 223511241859
BaseRepresentation
bin11110011110110…
…00010011010100
3122211010101122210
433033120103110
51010424034230
641212153420
76223220502
oct1717302324
9584111583
10255689940
1112136a700
1271768870
1340c8552c
1425d5b672
15176a9eb0
hexf3d84d4

255689940 has 144 divisors (see below), whose sum is σ = 807065280. Its totient is φ = 60403200.

The previous prime is 255689939. The next prime is 255689971. The reversal of 255689940 is 49986552.

It is a self number, because there is not a number n which added to its sum of digits gives 255689940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297231 + ... + 298089.

It is an arithmetic number, because the mean of its divisors is an integer number (5604620).

Almost surely, 2255689940 is an apocalyptic number.

255689940 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 255689940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403532640).

255689940 is an abundant number, since it is smaller than the sum of its proper divisors (551375340).

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

255689940 is a wasteful number, since it uses less digits than its factorization.

255689940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 255689940 is about 15990.3076893473. The cubic root of 255689940 is about 634.7039684890.

The spelling of 255689940 in words is "two hundred fifty-five million, six hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 121 123 132 164 165 205 220 242 246 330 363 410 451 484 492 605 615 660 726 820 859 902 1210 1230 1353 1452 1718 1804 1815 2255 2420 2460 2577 2706 3436 3630 4295 4510 4961 5154 5412 6765 7260 8590 9020 9449 9922 10308 12885 13530 14883 17180 18898 19844 24805 25770 27060 28347 29766 35219 37796 47245 49610 51540 56694 59532 70438 74415 94490 99220 103939 105657 113388 140876 141735 148830 176095 188980 207878 211314 283470 297660 311817 352190 387409 415756 422628 519695 528285 566940 623634 704380 774818 1039390 1056570 1162227 1247268 1549636 1559085 1937045 2078780 2113140 2324454 3118170 3874090 4261499 4648908 5811135 6236340 7748180 8522998 11622270 12784497 17045996 21307495 23244540 25568994 42614990 51137988 63922485 85229980 127844970 255689940