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5281380 = 22325133761
BaseRepresentation
bin10100001001011001100100
3100221022200200
4110021121210
52323001010
6305110500
762614416
oct24113144
910838620
105281380
112a87a85
121928430
13112bba0
149b69b6
156e4cc0
hex509664

5281380 has 144 divisors (see below), whose sum is σ = 18009264. Its totient is φ = 1244160.

The previous prime is 5281379. The next prime is 5281403. The reversal of 5281380 is 831825.

5281380 = T415 + T416 + ... + T468.

It is a happy number.

5281380 is a `hidden beast` number, since 5 + 281 + 380 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 589824 + 4691556 = 768^2 + 2166^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86550 + ... + 86610.

Almost surely, 25281380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5281380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004632).

5281380 is an abundant number, since it is smaller than the sum of its proper divisors (12727884).

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

5281380 is a wasteful number, since it uses less digits than its factorization.

5281380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5281380 is about 2298.1253229535. The cubic root of 5281380 is about 174.1469230714.

The spelling of 5281380 in words is "five million, two hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 61 65 74 78 90 111 117 122 130 148 156 180 183 185 195 222 234 244 260 305 333 366 370 390 444 468 481 549 555 585 610 666 732 740 780 793 915 962 1098 1110 1170 1220 1332 1443 1586 1665 1830 1924 2196 2220 2257 2340 2379 2405 2745 2886 3172 3330 3660 3965 4329 4514 4758 4810 5490 5772 6660 6771 7137 7215 7930 8658 9028 9516 9620 10980 11285 11895 13542 14274 14430 15860 17316 20313 21645 22570 23790 27084 28548 28860 29341 33855 35685 40626 43290 45140 47580 58682 67710 71370 81252 86580 88023 101565 117364 135420 142740 146705 176046 203130 264069 293410 352092 406260 440115 528138 586820 880230 1056276 1320345 1760460 2640690 5281380