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285013740 = 2235112914891
BaseRepresentation
bin10000111111001…
…111011011101100
3201212022012100110
4100333033123230
51040430414430
644140500020
710030401564
oct2077173354
9655265313
10285013740
11136979050
127b54a610
13470817ab
1429bd1da4
151a04d7b0
hex10fcf6ec

285013740 has 96 divisors (see below), whose sum is σ = 900668160. Its totient is φ = 66707200.

The previous prime is 285013739. The next prime is 285013747. The reversal of 285013740 is 47310582.

285013740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 285013698 and 285013707.

It is not an unprimeable number, because it can be changed into a prime (285013747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11695 + ... + 26585.

It is an arithmetic number, because the mean of its divisors is an integer number (9381960).

Almost surely, 2285013740 is an apocalyptic number.

285013740 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 285013740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450334080).

285013740 is an abundant number, since it is smaller than the sum of its proper divisors (615654420).

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

285013740 is a wasteful number, since it uses less digits than its factorization.

285013740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14943 (or 14941 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 285013740 is about 16882.3499549085. The cubic root of 285013740 is about 658.0950118865.

The spelling of 285013740 in words is "two hundred eighty-five million, thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 14891 19140 29782 44673 59564 74455 89346 148910 163801 178692 223365 297820 327602 431839 446730 491403 655204 819005 863678 893460 982806 1295517 1638010 1727356 1965612 2159195 2457015 2591034 3276020 4318390 4750229 4914030 5182068 6477585 8636780 9500458 9828060 12955170 14250687 19000916 23751145 25910340 28501374 47502290 57002748 71253435 95004580 142506870 285013740