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255841140 = 223531263523
BaseRepresentation
bin11110011111111…
…01001101110100
3122211102002001210
433033331031310
51010443404030
641215321420
76224420352
oct1717751564
9584362053
10255841140
11121463265
1271820270
13410092b9
1425d9a7d2
15176d9bb0
hexf3fd374

255841140 has 96 divisors (see below), whose sum is σ = 743694336. Its totient is φ = 65646720.

The previous prime is 255841139. The next prime is 255841141. The reversal of 255841140 is 41148552.

255841140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255841139) and next prime (255841141).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 255841098 and 255841107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255841141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488919 + ... + 489441.

It is an arithmetic number, because the mean of its divisors is an integer number (7746816).

Almost surely, 2255841140 is an apocalyptic number.

255841140 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 255841140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371847168).

255841140 is an abundant number, since it is smaller than the sum of its proper divisors (487853196).

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

255841140 is a wasteful number, since it uses less digits than its factorization.

255841140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 255841140 is about 15995.0348546041. The cubic root of 255841140 is about 634.8290527086.

Adding to 255841140 its reverse (41148552), we get a palindrome (296989692).

The spelling of 255841140 in words is "two hundred fifty-five million, eight hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 263 310 372 465 523 526 620 789 930 1046 1052 1315 1569 1578 1860 2092 2615 2630 3138 3156 3945 5230 5260 6276 7845 7890 8153 10460 15690 15780 16213 16306 24459 31380 32426 32612 40765 48639 48918 64852 81065 81530 97278 97836 122295 137549 162130 163060 194556 243195 244590 275098 324260 412647 486390 489180 550196 687745 825294 972780 1375490 1650588 2063235 2750980 4126470 4264019 8252940 8528038 12792057 17056076 21320095 25584114 42640190 51168228 63960285 85280380 127920570 255841140