Search a number
-
+
255823380 = 22335895323
BaseRepresentation
bin11110011111110…
…00111000010100
3122211101011201000
433033320320110
51010442322010
641215103300
76224314521
oct1717707024
9584334630
10255823380
1112145098a
1271811b30
13410011a7
1425d94148
15176d47c0
hexf3f8e14

255823380 has 96 divisors (see below), whose sum is σ = 804988800. Its totient is φ = 67440384.

The previous prime is 255823369. The next prime is 255823387. The reversal of 255823380 is 83328552.

255823380 is a `hidden beast` number, since 2 + 558 + 23 + 3 + 80 = 666.

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 (255823387) 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, 45399 + ... + 50721.

It is an arithmetic number, because the mean of its divisors is an integer number (8385300).

Almost surely, 2255823380 is an apocalyptic number.

255823380 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 255823380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402494400).

255823380 is an abundant number, since it is smaller than the sum of its proper divisors (549165420).

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

255823380 is a wasteful number, since it uses less digits than its factorization.

255823380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 255823380 is about 15994.4796726871. The cubic root of 255823380 is about 634.8143628312.

The spelling of 255823380 in words is "two hundred fifty-five million, eight hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5323 5340 8010 9612 10646 12015 15969 16020 21292 24030 26615 31938 47907 48060 53230 63876 79845 95814 106460 143721 159690 191628 239535 287442 319380 473747 479070 574884 718605 947494 958140 1421241 1437210 1894988 2368735 2842482 2874420 4263723 4737470 5684964 7106205 8527446 9474940 12791169 14212410 17054892 21318615 25582338 28424820 42637230 51164676 63955845 85274460 127911690 255823380