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255655120 = 2457232863
BaseRepresentation
bin11110011110011…
…11110011010000
3122211001121220011
433033033303100
51010421430440
641211324304
76223014130
oct1717176320
9584047804
10255655120
11121346526
1271750694
1340c72726
1425d4cac0
151769e9ea
hexf3cfcd0

255655120 has 120 divisors (see below), whose sum is σ = 710954496. Its totient is φ = 83745024.

The previous prime is 255655117. The next prime is 255655151. The reversal of 255655120 is 21556552.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 295809 + ... + 296671.

Almost surely, 2255655120 is an apocalyptic number.

255655120 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 255655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355477248).

255655120 is an abundant number, since it is smaller than the sum of its proper divisors (455299376).

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

255655120 is a wasteful number, since it uses less digits than its factorization.

255655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 255655120 is about 15989.2188677246. The cubic root of 255655120 is about 634.6751557331.

The spelling of 255655120 in words is "two hundred fifty-five million, six hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 529 560 644 805 863 920 1058 1288 1610 1726 1840 2116 2576 2645 3220 3452 3703 4232 4315 5290 6041 6440 6904 7406 8464 8630 10580 12082 12880 13808 14812 17260 18515 19849 21160 24164 29624 30205 34520 37030 39698 42320 48328 59248 60410 69040 74060 79396 96656 99245 120820 138943 148120 158792 198490 241640 277886 296240 317584 396980 456527 483280 555772 694715 793960 913054 1111544 1389430 1587920 1826108 2223088 2282635 2778860 3195689 3652216 4565270 5557720 6391378 7304432 9130540 11115440 12782756 15978445 18261080 25565512 31956890 36522160 51131024 63913780 127827560 255655120