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255834240 = 2735197013
BaseRepresentation
bin11110011111110…
…11100010000000
3122211101201121020
433033323202000
51010443143430
641215225440
76224361264
oct1717734200
9584351536
10255834240
11121459062
1271818280
134100610c
1425d980a4
15176d7b10
hexf3fb880

255834240 has 128 divisors (see below), whose sum is σ = 858513600. Its totient is φ = 64622592.

The previous prime is 255834217. The next prime is 255834287. The reversal of 255834240 is 42438552.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32974 + ... + 39986.

Almost surely, 2255834240 is an apocalyptic number.

255834240 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 255834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429256800).

255834240 is an abundant number, since it is smaller than the sum of its proper divisors (602679360).

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

255834240 is a wasteful number, since it uses less digits than its factorization.

255834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 255834240 is about 15994.8191612159. The cubic root of 255834240 is about 634.8233455735.

The spelling of 255834240 in words is "two hundred fifty-five million, eight hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7013 7296 9120 12160 14026 18240 21039 28052 35065 36480 42078 56104 70130 84156 105195 112208 133247 140260 168312 210390 224416 266494 280520 336624 399741 420780 448832 532988 561040 666235 673248 799482 841560 897664 1065976 1122080 1332470 1346496 1598964 1683120 1998705 2131952 2244160 2664940 2692992 3197928 3366240 3997410 4263904 4488320 5329880 6395856 6732480 7994820 8527808 10659760 12791712 13464960 15989640 17055616 21319520 25583424 31979280 42639040 51166848 63958560 85278080 127917120 255834240