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255591280 = 24573114723
BaseRepresentation
bin11110011110000…
…00001101110000
3122210221101022201
433033000031300
51010412410110
641210112544
76222330040
oct1717001560
9583841281
10255591280
1112130256a
127171b754
1340c4c659
1425d33720
151768ab3a
hexf3c0370

255591280 has 80 divisors (see below), whose sum is σ = 701097984. Its totient is φ = 84798720.

The previous prime is 255591233. The next prime is 255591289. The reversal of 255591280 is 82195552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255591289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999 + ... + 24721.

Almost surely, 2255591280 is an apocalyptic number.

255591280 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 255591280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350548992).

255591280 is an abundant number, since it is smaller than the sum of its proper divisors (445506704).

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

255591280 is a wasteful number, since it uses less digits than its factorization.

255591280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The square root of 255591280 is about 15987.2223979026. Note that the first 3 decimals coincide. The cubic root of 255591280 is about 634.6223227929.

The spelling of 255591280 in words is "two hundred fifty-five million, five hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 14723 17360 29446 58892 73615 103061 117784 147230 206122 235568 294460 412244 456413 515305 588920 824488 912826 1030610 1177840 1648976 1825652 2061220 2282065 3194891 3651304 4122440 4564130 6389782 7302608 8244880 9128260 12779564 15974455 18256520 25559128 31948910 36513040 51118256 63897820 127795640 255591280