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255299040 = 2534519699
BaseRepresentation
bin11110011011110…
…00110111100000
3122210101112110000
433031320313200
51010324032130
641155540000
76220002033
oct1715706740
9583345400
10255299040
11121122a47
12715ba600
1340b79629
1425c9901a
151762e260
hexf378de0

255299040 has 120 divisors (see below), whose sum is σ = 901038600. Its totient is φ = 68076288.

The previous prime is 255299017. The next prime is 255299059. The reversal of 255299040 is 40992552.

It is a happy number.

255299040 is a `hidden beast` number, since 2 + 5 + 529 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255298986 and 255299004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3111 + ... + 22809.

It is an arithmetic number, because the mean of its divisors is an integer number (7508655).

Almost surely, 2255299040 is an apocalyptic number.

255299040 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 255299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450519300).

255299040 is an abundant number, since it is smaller than the sum of its proper divisors (645739560).

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

255299040 is a wasteful number, since it uses less digits than its factorization.

255299040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19726 (or 19709 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 255299040 is about 15978.0799847791. The cubic root of 255299040 is about 634.3803573686.

The spelling of 255299040 in words is "two hundred fifty-five million, two hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 19699 39398 59097 78796 98495 118194 157592 177291 196990 236388 295485 315184 354582 393980 472776 531873 590970 630368 709164 787960 886455 945552 1063746 1181940 1418328 1575920 1595619 1772910 1891104 2127492 2363880 2659365 2836656 3151840 3191238 3545820 4254984 4727760 5318730 5673312 6382476 7091640 7978095 8509968 9455520 10637460 12764952 14183280 15956190 17019936 21274920 25529904 28366560 31912380 42549840 51059808 63824760 85099680 127649520 255299040