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290713060 = 225115922397
BaseRepresentation
bin10001010100111…
…110110111100100
3202021000202100101
4101110332313210
51043410304220
644502553444
710130006641
oct2124766744
9667022311
10290713060
1113a111030
1281438884
13482c8981
142a876dc8
151a7c730a
hex1153ede4

290713060 has 48 divisors (see below), whose sum is σ = 677315520. Its totient is φ = 103917440.

The previous prime is 290713051. The next prime is 290713063. The reversal of 290713060 is 60317092.

It is not an unprimeable number, because it can be changed into a prime (290713063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782 + ... + 24178.

It is an arithmetic number, because the mean of its divisors is an integer number (14110740).

Almost surely, 2290713060 is an apocalyptic number.

290713060 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 290713060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338657760).

290713060 is an abundant number, since it is smaller than the sum of its proper divisors (386602460).

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

290713060 is a wasteful number, since it uses less digits than its factorization.

290713060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22476 (or 22474 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 290713060 is about 17050.3096746071. The cubic root of 290713060 is about 662.4526587745.

It can be divided in two parts, 29071 and 3060, that added together give a triangular number (32131 = T253).

The spelling of 290713060 in words is "two hundred ninety million, seven hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 22397 44794 89588 111985 223970 246367 447940 492734 985468 1231835 1321423 2463670 2642846 4927340 5285692 6607115 13214230 14535653 26428460 29071306 58142612 72678265 145356530 290713060