Search a number
-
+
255928960 = 275728161
BaseRepresentation
bin11110100000100…
…10101010000000
3122211120112112101
433100102222000
51011004211320
641221240144
76225234400
oct1720225200
9584515471
10255928960
11121513241
1271863054
134103a271
1425dc0800
1517705c0a
hexf412a80

255928960 has 96 divisors (see below), whose sum is σ = 711808020. Its totient is φ = 87736320.

The previous prime is 255928909. The next prime is 255928969. The reversal of 255928960 is 69829552.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 251159104 + 4769856 = 15848^2 + 2184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 255928960.

It is not an unprimeable number, because it can be changed into a prime (255928969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27280 + ... + 35440.

Almost surely, 2255928960 is an apocalyptic number.

255928960 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 255928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355904010).

255928960 is an abundant number, since it is smaller than the sum of its proper divisors (455879060).

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

255928960 is an equidigital number, since it uses as much as digits as its factorization.

255928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 255928960 is about 15997.7798459661. The cubic root of 255928960 is about 634.9016815146.

The spelling of 255928960 in words is "two hundred fifty-five million, nine hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 8161 15680 16322 31360 32644 40805 57127 65288 81610 114254 130576 163220 228508 261152 285635 326440 399889 457016 522304 571270 652880 799778 914032 1044608 1142540 1305760 1599556 1828064 1999445 2285080 2611520 3199112 3656128 3998890 4570160 5223040 6398224 7312256 7997780 9140320 12796448 15995560 18280640 25592896 31991120 36561280 51185792 63982240 127964480 255928960