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255250560 = 2735196997
BaseRepresentation
bin11110011011011…
…01000010000000
3122210022001221110
433031231002000
51010321004220
641154523320
76216410505
oct1715550200
9583261843
10255250560
1112109a584
1271596540
1340b60546
1425c854ac
151761ebe0
hexf36d080

255250560 has 128 divisors (see below), whose sum is σ = 856555200. Its totient is φ = 64475136.

The previous prime is 255250507. The next prime is 255250577. The reversal of 255250560 is 65052552.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32982 + ... + 39978.

Almost surely, 2255250560 is an apocalyptic number.

255250560 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 255250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428277600).

255250560 is an abundant number, since it is smaller than the sum of its proper divisors (601304640).

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

255250560 is a wasteful number, since it uses less digits than its factorization.

255250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 255250560 is about 15976.5628343521. The cubic root of 255250560 is about 634.3401996165.

The spelling of 255250560 in words is "two hundred fifty-five million, two hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 6997 7296 9120 12160 13994 18240 20991 27988 34985 36480 41982 55976 69970 83964 104955 111952 132943 139940 167928 209910 223904 265886 279880 335856 398829 419820 447808 531772 559760 664715 671712 797658 839640 895616 1063544 1119520 1329430 1343424 1595316 1679280 1994145 2127088 2239040 2658860 2686848 3190632 3358560 3988290 4254176 4478080 5317720 6381264 6717120 7976580 8508352 10635440 12762528 13434240 15953160 17016704 21270880 25525056 31906320 42541760 51050112 63812640 85083520 127625280 255250560