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255678720 = 2835116053
BaseRepresentation
bin11110011110101…
…01100100000000
3122211002211021020
433033111210000
51010423204340
641212025440
76223143003
oct1717254400
9584084236
10255678720
11121362230
1271762280
1340c803ab
1425d5753a
15176a69d0
hexf3d5900

255678720 has 144 divisors (see below), whose sum is σ = 890955072. Its totient is φ = 61972480.

The previous prime is 255678707. The next prime is 255678727. The reversal of 255678720 is 27876552.

It is not an unprimeable number, because it can be changed into a prime (255678727) 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 15 ways as a sum of consecutive naturals, for example, 39214 + ... + 45266.

It is an arithmetic number, because the mean of its divisors is an integer number (6187188).

Almost surely, 2255678720 is an apocalyptic number.

255678720 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 255678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445477536).

255678720 is an abundant number, since it is smaller than the sum of its proper divisors (635276352).

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

255678720 is a wasteful number, since it uses less digits than its factorization.

255678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 255678720 is about 15989.9568479718. The cubic root of 255678720 is about 634.6946844805.

The spelling of 255678720 in words is "two hundred fifty-five million, six hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 6053 7040 8448 10560 12106 14080 18159 21120 24212 30265 36318 42240 48424 60530 66583 72636 90795 96848 121060 133166 145272 181590 193696 199749 242120 266332 290544 332915 363180 387392 399498 484240 532664 581088 665830 726360 774784 798996 968480 998745 1065328 1162176 1331660 1452720 1549568 1597992 1936960 1997490 2130656 2324352 2663320 2905440 3195984 3873920 3994980 4261312 4648704 5326640 5810880 6391968 7747840 7989960 8522624 10653280 11621760 12783936 15979920 17045248 21306560 23243520 25567872 31959840 42613120 51135744 63919680 85226240 127839360 255678720