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255360 = 2735719
BaseRepresentation
bin111110010110000000
3110222021210
4332112000
531132420
65250120
72112330
oct762600
9428253
10255360
11164946
12103940
138c301
14690c0
15509e0
hex3e580

255360 has 128 divisors (see below), whose sum is σ = 979200. Its totient is φ = 55296.

The previous prime is 255349. The next prime is 255361. The reversal of 255360 is 63552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13431 + ... + 13449.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2255360 is an apocalyptic number.

255360 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 255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489600).

255360 is an abundant number, since it is smaller than the sum of its proper divisors (723840).

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

255360 is a wasteful number, since it uses less digits than its factorization.

255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 255360 is about 505.3315743153. The cubic root of 255360 is about 63.4430845545.

The spelling of 255360 in words is "two hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 48 56 57 60 64 70 76 80 84 95 96 105 112 114 120 128 133 140 152 160 168 190 192 210 224 228 240 266 280 285 304 320 336 380 384 399 420 448 456 480 532 560 570 608 640 665 672 760 798 840 896 912 960 1064 1120 1140 1216 1330 1344 1520 1596 1680 1824 1920 1995 2128 2240 2280 2432 2660 2688 3040 3192 3360 3648 3990 4256 4480 4560 5320 6080 6384 6720 7296 7980 8512 9120 10640 12160 12768 13440 15960 17024 18240 21280 25536 31920 36480 42560 51072 63840 85120 127680 255360