Search a number
-
+
285287860 = 2251113234337
BaseRepresentation
bin10001000000010…
…010010110110100
3201212211010101001
4101000102112310
51041013202420
644150413044
710032623014
oct2100222664
9655733331
10285287860
11137045aa0
127b661184
13471494b0
1429c63c44
151a0a4b0a
hex110125b4

285287860 has 96 divisors (see below), whose sum is σ = 734614272. Its totient is φ = 91576320.

The previous prime is 285287857. The next prime is 285287861. The reversal of 285287860 is 68782582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 285287860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285287861) 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, 63612 + ... + 67948.

It is an arithmetic number, because the mean of its divisors is an integer number (7652232).

Almost surely, 2285287860 is an apocalyptic number.

285287860 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 285287860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367307136).

285287860 is an abundant number, since it is smaller than the sum of its proper divisors (449326412).

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

285287860 is a wasteful number, since it uses less digits than its factorization.

285287860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 285287860 is about 16890.4665418099. The cubic root of 285287860 is about 658.3059247611.

The spelling of 285287860 in words is "two hundred eighty-five million, two hundred eighty-seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 2530 2860 2990 3289 4337 5060 5980 6578 8674 13156 16445 17348 21685 32890 43370 47707 56381 65780 86740 95414 99751 112762 190828 199502 225524 238535 281905 399004 477070 498755 563810 620191 954140 997510 1097261 1127620 1240382 1296763 1995020 2194522 2480764 2593526 3100955 4389044 5187052 5486305 6201910 6483815 10972610 12403820 12967630 14264393 21945220 25935260 28528786 57057572 71321965 142643930 285287860