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255063680 = 2753531129
BaseRepresentation
bin11110011001111…
…11011010000000
3122202221120120222
433030333122000
51010244014210
641150522212
76215001614
oct1714773200
9582846528
10255063680
11120a82133
1271506368
1340ac6471
1425c37344
15175d4655
hexf33f680

255063680 has 64 divisors (see below), whose sum is σ = 612030600. Its totient is φ = 101646336.

The previous prime is 255063643. The next prime is 255063703. The reversal of 255063680 is 86360552.

It can be written as a sum of positive squares in 4 ways, for example, as 135117376 + 119946304 = 11624^2 + 10952^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 255063680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225356 + ... + 226484.

Almost surely, 2255063680 is an apocalyptic number.

255063680 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 255063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306015300).

255063680 is an abundant number, since it is smaller than the sum of its proper divisors (356966920).

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

255063680 is a wasteful number, since it uses less digits than its factorization.

255063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 255063680 is about 15970.7131963479. The cubic root of 255063680 is about 634.1853525008.

The spelling of 255063680 in words is "two hundred fifty-five million, sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 353 640 706 1129 1412 1765 2258 2824 3530 4516 5645 5648 7060 9032 11290 11296 14120 18064 22580 22592 28240 36128 45160 45184 56480 72256 90320 112960 144512 180640 225920 361280 398537 722560 797074 1594148 1992685 3188296 3985370 6376592 7970740 12753184 15941480 25506368 31882960 51012736 63765920 127531840 255063680