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283140 = 2232511213
BaseRepresentation
bin1000101001000000100
3112101101200
41011020010
533030030
610022500
72256324
oct1051004
9471350
10283140
11183800
12117a30
139bb50
1475284
1558d60
hex45204

283140 has 108 divisors (see below), whose sum is σ = 1016652. Its totient is φ = 63360.

The previous prime is 283139. The next prime is 283159. The reversal of 283140 is 41382.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 213444 = 264^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21774 + ... + 21786.

2283140 is an apocalyptic number.

283140 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 283140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508326).

283140 is an abundant number, since it is smaller than the sum of its proper divisors (733512).

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

283140 is a wasteful number, since it uses less digits than its factorization.

283140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 283140 is about 532.1090113877. The cubic root of 283140 is about 65.6649688493.

The spelling of 283140 in words is "two hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 121 130 132 143 156 165 180 195 198 220 234 242 260 286 330 363 390 396 429 468 484 495 572 585 605 660 715 726 780 858 990 1089 1170 1210 1287 1430 1452 1573 1716 1815 1980 2145 2178 2340 2420 2574 2860 3146 3630 4290 4356 4719 5148 5445 6292 6435 7260 7865 8580 9438 10890 12870 14157 15730 18876 21780 23595 25740 28314 31460 47190 56628 70785 94380 141570 283140