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280830 = 235112337
BaseRepresentation
bin1000100100011111110
3112021020010
41010203332
532441310
610004050
72246514
oct1044376
9467203
10280830
11181aa0
12116626
139aa94
14744b4
1558320
hex448fe

280830 has 64 divisors (see below), whose sum is σ = 787968. Its totient is φ = 63360.

The previous prime is 280817. The next prime is 280837. The reversal of 280830 is 38082.

280830 = T4 + T5 + ... + T118.

It is a junction number, because it is equal to n+sod(n) for n = 280797 and 280806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280837) by changing a digit.

280830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7572 + ... + 7608.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2280830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393984).

280830 is an abundant number, since it is smaller than the sum of its proper divisors (507138).

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

280830 is a wasteful number, since it uses less digits than its factorization.

280830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 280830 is about 529.9339581495. The cubic root of 280830 is about 65.4859049367.

The spelling of 280830 in words is "two hundred eighty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 37 46 55 66 69 74 110 111 115 138 165 185 222 230 253 330 345 370 407 506 555 690 759 814 851 1110 1221 1265 1518 1702 2035 2442 2530 2553 3795 4070 4255 5106 6105 7590 8510 9361 12210 12765 18722 25530 28083 46805 56166 93610 140415 280830