Search a number
-
+
285906030 = 23537307839
BaseRepresentation
bin10001000010101…
…001010001101110
3201220222112100020
4101002221101232
51041142443110
644211543010
710041106164
oct2102512156
9656875306
10285906030
11137428483
127b8baa66
1347304987
1429d85234
151a177d70
hex110a946e

285906030 has 64 divisors (see below), whose sum is σ = 707857920. Its totient is φ = 73851264.

The previous prime is 285906013. The next prime is 285906037. The reversal of 285906030 is 30609582.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 285905982 and 285906000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285906037) 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, 340351 + ... + 341189.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2285906030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285906030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353928960).

285906030 is an abundant number, since it is smaller than the sum of its proper divisors (421951890).

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

285906030 is a wasteful number, since it uses less digits than its factorization.

285906030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 285906030 is about 16908.7560157452. The cubic root of 285906030 is about 658.7810605299.

The spelling of 285906030 in words is "two hundred eighty-five million, nine hundred six thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 307 370 555 614 839 921 1110 1535 1678 1842 2517 3070 4195 4605 5034 8390 9210 11359 12585 22718 25170 31043 34077 56795 62086 68154 93129 113590 155215 170385 186258 257573 310430 340770 465645 515146 772719 931290 1287865 1545438 2575730 3863595 7727190 9530201 19060402 28590603 47651005 57181206 95302010 142953015 285906030