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255713310 = 232523241131
BaseRepresentation
bin11110011110111…
…10000000011110
3122211011120201100
433033132000132
51010430311220
641212453530
76223345566
oct1717360036
9584146640
10255713310
11121386216
127177a2a6
1340c93068
1425d65da6
15176b1d90
hexf3de01e

255713310 has 144 divisors (see below), whose sum is σ = 717404688. Its totient is φ = 63148800.

The previous prime is 255713309. The next prime is 255713369. The reversal of 255713310 is 13317552.

It is a super-2 number, since 2×2557133102 = 130778593822312200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1951945 + ... + 1952075.

It is an arithmetic number, because the mean of its divisors is an integer number (4981977).

Almost surely, 2255713310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255713310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358702344).

255713310 is an abundant number, since it is smaller than the sum of its proper divisors (461691378).

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

255713310 is a wasteful number, since it uses less digits than its factorization.

255713310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 255713310 is about 15991.0384278195. The cubic root of 255713310 is about 634.7233051641.

The spelling of 255713310 in words is "two hundred fifty-five million, seven hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 41 45 46 69 82 90 115 123 131 138 205 207 230 246 262 345 369 393 410 414 529 615 655 690 738 786 943 1035 1058 1179 1230 1310 1587 1845 1886 1965 2070 2358 2645 2829 3013 3174 3690 3930 4715 4761 5290 5371 5658 5895 6026 7935 8487 9039 9430 9522 10742 11790 14145 15065 15870 16113 16974 18078 21689 23805 26855 27117 28290 30130 32226 42435 43378 45195 47610 48339 53710 54234 65067 69299 80565 84870 90390 96678 108445 123533 130134 135585 138598 161130 195201 207897 216890 241695 247066 271170 325335 346495 370599 390402 415794 483390 617665 623691 650670 692990 741198 976005 1039485 1111797 1235330 1247382 1852995 1952010 2078970 2223594 2841259 3118455 3705990 5558985 5682518 6236910 8523777 11117970 14206295 17047554 25571331 28412590 42618885 51142662 85237770 127856655 255713310