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284130 = 232571141
BaseRepresentation
bin1000101010111100010
3112102202100
41011113202
533043010
610031230
72262240
oct1052742
9472670
10284130
11184520
12118516
139c432
1475790
15592c0
hex455e2

284130 has 96 divisors (see below), whose sum is σ = 943488. Its totient is φ = 57600.

The previous prime is 284129. The next prime is 284131. The reversal of 284130 is 31482.

It is a happy number.

284130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (284129) and next prime (284131).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (284131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6910 + ... + 6950.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2284130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

284130 is an abundant number, since it is smaller than the sum of its proper divisors (659358).

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

284130 is a wasteful number, since it uses less digits than its factorization.

284130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

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

The square root of 284130 is about 533.0384601509. The cubic root of 284130 is about 65.7414124211.

It can be divided in two parts, 284 and 130, that added together give a palindrome (414).

The spelling of 284130 in words is "two hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 41 42 45 55 63 66 70 77 82 90 99 105 110 123 126 154 165 198 205 210 231 246 287 315 330 369 385 410 451 462 495 574 615 630 693 738 770 861 902 990 1155 1230 1353 1386 1435 1722 1845 2255 2310 2583 2706 2870 3157 3465 3690 4059 4305 4510 5166 6314 6765 6930 8118 8610 9471 12915 13530 15785 18942 20295 25830 28413 31570 40590 47355 56826 94710 142065 284130