Search a number
-
+
255812580 = 22345198311
BaseRepresentation
bin11110011111101…
…10001111100100
3122211100121220000
433033312033210
51010442000310
641214541300
76224241162
oct1717661744
9584317800
10255812580
11121443861
1271807830
1340cc92ba
1425d90232
15176d14c0
hexf3f63e4

255812580 has 120 divisors (see below), whose sum is σ = 844831680. Its totient is φ = 64618560.

The previous prime is 255812569. The next prime is 255812581. The reversal of 255812580 is 85218552.

255812580 is a `hidden beast` number, since 2 + 558 + 1 + 25 + 80 = 666.

255812580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255812581) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26625 + ... + 34935.

It is an arithmetic number, because the mean of its divisors is an integer number (7040264).

Almost surely, 2255812580 is an apocalyptic number.

255812580 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 255812580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422415840).

255812580 is an abundant number, since it is smaller than the sum of its proper divisors (589019100).

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

255812580 is a wasteful number, since it uses less digits than its factorization.

255812580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 255812580 is about 15994.1420526391. The cubic root of 255812580 is about 634.8054294653.

The spelling of 255812580 in words is "two hundred fifty-five million, eight hundred twelve thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 8311 10260 15390 16622 24933 30780 33244 41555 49866 74799 83110 99732 124665 149598 157909 166220 224397 249330 299196 315818 373995 448794 473727 498660 631636 673191 747990 789545 897588 947454 1121985 1346382 1421181 1495980 1579090 1894908 2243970 2368635 2692764 2842362 3158180 3365955 4263543 4487940 4737270 5684724 6731910 7105905 8527086 9474540 12790629 13463820 14211810 17054172 21317715 25581258 28423620 42635430 51162516 63953145 85270860 127906290 255812580