Search a number
-
+
285480300 = 223527672029
BaseRepresentation
bin10001000001000…
…001010101101100
3201220011220100110
4101001001111230
51041040332200
644154500020
710034354040
oct2101012554
9656156313
10285480300
11137167636
127b734610
13471b5c71
1429cb4020
151a0e1b50
hex1104156c

285480300 has 144 divisors (see below), whose sum is σ = 958549760. Its totient is φ = 64247040.

The previous prime is 285480289. The next prime is 285480317. The reversal of 285480300 is 3084582.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 139686 + ... + 141714.

Almost surely, 2285480300 is an apocalyptic number.

285480300 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 285480300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479274880).

285480300 is an abundant number, since it is smaller than the sum of its proper divisors (673069460).

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

285480300 is a wasteful number, since it uses less digits than its factorization.

285480300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 285480300 is about 16896.1622861524. The cubic root of 285480300 is about 658.4539108665.

The spelling of 285480300 in words is "two hundred eighty-five million, four hundred eighty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 300 335 350 402 420 469 525 670 700 804 938 1005 1050 1340 1407 1675 1876 2010 2029 2100 2345 2814 3350 4020 4058 4690 5025 5628 6087 6700 7035 8116 9380 10050 10145 11725 12174 14070 14203 20100 20290 23450 24348 28140 28406 30435 35175 40580 42609 46900 50725 56812 60870 70350 71015 85218 101450 121740 135943 140700 142030 152175 170436 202900 213045 271886 284060 304350 355075 407829 426090 543772 608700 679715 710150 815658 852180 951601 1065225 1359430 1420300 1631316 1903202 2039145 2130450 2718860 2854803 3398575 3806404 4078290 4260900 4758005 5709606 6797150 8156580 9516010 10195725 11419212 13594300 14274015 19032020 20391450 23790025 28548030 40782900 47580050 57096060 71370075 95160100 142740150 285480300