Search a number
-
+
290299360 = 25513233599
BaseRepresentation
bin10001010011011…
…001110111100000
3202020020201212011
4101103121313200
51043304034420
644450042304
710123334551
oct2123316740
9666221764
10290299360
1113995922a
1281279394
13481b2590
142a7aa328
151a74495a
hex114d9de0

290299360 has 96 divisors (see below), whose sum is σ = 742996800. Its totient is φ = 106549248.

The previous prime is 290299357. The next prime is 290299379. The reversal of 290299360 is 63992092.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484341 + ... + 484939.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2290299360 is an apocalyptic number.

290299360 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 290299360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).

290299360 is an abundant number, since it is smaller than the sum of its proper divisors (452697440).

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

290299360 is a wasteful number, since it uses less digits than its factorization.

290299360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 290299360 is about 17038.1736110418. The cubic root of 290299360 is about 662.1382745878.

The spelling of 290299360 in words is "two hundred ninety million, two hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 233 260 416 466 520 599 932 1040 1165 1198 1864 2080 2330 2396 2995 3029 3728 4660 4792 5990 6058 7456 7787 9320 9584 11980 12116 15145 15574 18640 19168 23960 24232 30290 31148 37280 38935 47920 48464 60580 62296 77870 95840 96928 121160 124592 139567 155740 242320 249184 279134 311480 484640 558268 622960 697835 1116536 1245920 1395670 1814371 2233072 2791340 3628742 4466144 5582680 7257484 9071855 11165360 14514968 18143710 22330720 29029936 36287420 58059872 72574840 145149680 290299360