Search a number
-
+
255641580 = 2232517194397
BaseRepresentation
bin11110011110011…
…00011111101100
3122211000221022200
433033030133230
51010421012310
641211141500
76222626505
oct1717143754
9584027280
10255641580
11121337337
1271744890
1340c6950c
1425d47bac
151769a9c0
hexf3cc7ec

255641580 has 144 divisors (see below), whose sum is σ = 864470880. Its totient is φ = 60770304.

The previous prime is 255641549. The next prime is 255641587. The reversal of 255641580 is 85146552.

255641580 is a `hidden beast` number, since 2 + 5 + 5 + 641 + 5 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (255641587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55942 + ... + 60338.

It is an arithmetic number, because the mean of its divisors is an integer number (6003270).

Almost surely, 2255641580 is an apocalyptic number.

255641580 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 255641580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432235440).

255641580 is an abundant number, since it is smaller than the sum of its proper divisors (608829300).

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

255641580 is a wasteful number, since it uses less digits than its factorization.

255641580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 255641580 is about 15988.7954518156. The cubic root of 255641580 is about 634.6639509854.

The spelling of 255641580 in words is "two hundred fifty-five million, six hundred forty-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2907 3060 3230 3420 3876 4397 4845 5814 6460 8794 9690 11628 13191 14535 17588 19380 21985 26382 29070 39573 43970 52764 58140 65955 74749 79146 83543 87940 131910 149498 158292 167086 197865 224247 250629 263820 298996 334172 373745 395730 417715 448494 501258 672741 747490 751887 791460 835430 896988 1002516 1121235 1253145 1345482 1420231 1494980 1503774 1670860 2242470 2506290 2690964 2840462 3007548 3363705 3759435 4260693 4484940 5012580 5680924 6727410 7101155 7518870 8521386 12782079 13454820 14202310 15037740 17042772 21303465 25564158 28404620 42606930 51128316 63910395 85213860 127820790 255641580