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255383260 = 2251123411231
BaseRepresentation
bin11110011100011…
…01011011011100
3122210112210222021
433032031123130
51010334231020
641201425524
76220502416
oct1716153334
9583483867
10255383260
11121180250
127163b2a4
1340ba8a72
1425cbb9b6
15176491aa
hexf38d6dc

255383260 has 96 divisors (see below), whose sum is σ = 625895424. Its totient is φ = 86592000.

The previous prime is 255383243. The next prime is 255383263. The reversal of 255383260 is 62383552.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255383263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 206845 + ... + 208075.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2255383260 is an apocalyptic number.

255383260 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 255383260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312947712).

255383260 is an abundant number, since it is smaller than the sum of its proper divisors (370512164).

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

255383260 is a wasteful number, since it uses less digits than its factorization.

255383260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 255383260 is about 15980.7152530793. The cubic root of 255383260 is about 634.4501077807.

The spelling of 255383260 in words is "two hundred fifty-five million, three hundred eighty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 41 44 46 55 82 92 110 115 164 205 220 230 253 410 451 460 506 820 902 943 1012 1231 1265 1804 1886 2255 2462 2530 3772 4510 4715 4924 5060 6155 9020 9430 10373 12310 13541 18860 20746 24620 27082 28313 41492 50471 51865 54164 56626 67705 100942 103730 113252 135410 141565 201884 207460 252355 270820 283130 311443 504710 555181 566260 622886 1009420 1110362 1160833 1245772 1557215 2220724 2321666 2775905 3114430 4643332 5551810 5804165 6228860 11103620 11608330 12769163 23216660 25538326 51076652 63845815 127691630 255383260