Search a number
-
+
255294640 = 24519533169
BaseRepresentation
bin11110011011101…
…11110010110000
3122210101022102001
433031313302300
51010323412030
641155503344
76216653146
oct1715676260
9583338361
10255294640
1112111a707
12715b7b54
1340b77623
1425c97596
151762ccca
hexf377cb0

255294640 has 80 divisors (see below), whose sum is σ = 636789600. Its totient is φ = 94887936.

The previous prime is 255294619. The next prime is 255294691. The reversal of 255294640 is 46492552.

255294640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 255294640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78976 + ... + 82144.

It is an arithmetic number, because the mean of its divisors is an integer number (7959870).

Almost surely, 2255294640 is an apocalyptic number.

255294640 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 255294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318394800).

255294640 is an abundant number, since it is smaller than the sum of its proper divisors (381494960).

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

255294640 is a wasteful number, since it uses less digits than its factorization.

255294640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 255294640 is about 15977.9422955523. The cubic root of 255294640 is about 634.3767128979.

The spelling of 255294640 in words is "two hundred fifty-five million, two hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 380 424 530 760 848 1007 1060 1520 2014 2120 3169 4028 4240 5035 6338 8056 10070 12676 15845 16112 20140 25352 31690 40280 50704 60211 63380 80560 120422 126760 167957 240844 253520 301055 335914 481688 602110 671828 839785 963376 1204220 1343656 1679570 2408440 2687312 3191183 3359140 4816880 6382366 6718280 12764732 13436560 15955915 25529464 31911830 51058928 63823660 127647320 255294640