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290006092260 = 223351928265701
BaseRepresentation
bin1000011100001011011…
…01011100100111100100
31000201120000121220122000
410032011231130213210
514222413024423020
6341121005005300
726644423053153
oct4160555344744
91021500556560
10290006092260
11101a99973515
1248256553830
1321469495431
1410071b2759a
157825106090
hex4385b5c9e4

290006092260 has 96 divisors (see below), whose sum is σ = 949727587200. Its totient is φ = 73264694400.

The previous prime is 290006092217. The next prime is 290006092303. The reversal of 290006092260 is 62290600092.

290006092260 is a `hidden beast` number, since 29 + 0 + 0 + 0 + 609 + 2 + 26 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (290006092217) and next prime (290006092303).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14122591 + ... + 14143110.

It is an arithmetic number, because the mean of its divisors is an integer number (9892995700).

Almost surely, 2290006092260 is an apocalyptic number.

290006092260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290006092260 is an abundant number, since it is smaller than the sum of its proper divisors (659721494940).

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

290006092260 is a wasteful number, since it uses less digits than its factorization.

290006092260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28265738 (or 28265730 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 290006092260 in words is "two hundred ninety billion, six million, ninety-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 28265701 56531402 84797103 113062804 141328505 169594206 254391309 282657010 339188412 423985515 508782618 537048319 565314020 763173927 847971030 1017565236 1074096638 1271956545 1526347854 1611144957 1695942060 2148193276 2543913090 2685241595 3052695708 3222289914 3815869635 4833434871 5087826180 5370483190 6444579828 7631739270 8055724785 9666869742 10740966380 14500304613 15263478540 16111449570 19333739484 24167174355 29000609226 32222899140 48334348710 58001218452 72501523065 96668697420 145003046130 290006092260