Search a number
-
+
255083640 = 233571717863
BaseRepresentation
bin11110011010001…
…00010001111000
3122202222120222020
433031010101320
51010300134030
641151154440
76215114040
oct1715042170
9582876866
10255083640
11120a96129
1271515a20
1340b02586
1425c40720
15175da510
hexf344478

255083640 has 128 divisors (see below), whose sum is σ = 926069760. Its totient is φ = 54872064.

The previous prime is 255083627. The next prime is 255083641. The reversal of 255083640 is 46380552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255083641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5349 + ... + 23211.

It is an arithmetic number, because the mean of its divisors is an integer number (7234920).

Almost surely, 2255083640 is an apocalyptic number.

255083640 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 255083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463034880).

255083640 is an abundant number, since it is smaller than the sum of its proper divisors (670986120).

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

255083640 is a wasteful number, since it uses less digits than its factorization.

255083640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17901 (or 17897 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 255083640 is about 15971.3380779445. The cubic root of 255083640 is about 634.2018947873.

The spelling of 255083640 in words is "two hundred fifty-five million, eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 17863 35726 53589 71452 89315 107178 125041 142904 178630 214356 250082 267945 303671 357260 375123 428712 500164 535890 607342 625205 714520 750246 911013 1000328 1071780 1214684 1250410 1500492 1518355 1822026 1875615 2125697 2143560 2429368 2500820 3000984 3036710 3644052 3751230 4251394 4555065 5001640 6073420 6377091 7288104 7502460 8502788 9110130 10628485 12146840 12754182 15004920 17005576 18220260 21256970 25508364 31885455 36440520 42513940 51016728 63770910 85027880 127541820 255083640