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290492100 = 223252322769
BaseRepresentation
bin10001010100001…
…000111011000100
3202020121112020200
4101110020323010
51043331221400
644454130500
710125066513
oct2124107304
9666545220
10290492100
11139a80018
1281350a30
134824c222
142a81a67a
151a781b00
hex11508ec4

290492100 has 54 divisors (see below), whose sum is σ = 910534170. Its totient is φ = 77464320.

The previous prime is 290492077. The next prime is 290492129. The reversal of 290492100 is 1294092.

It can be written as a sum of positive squares in 3 ways, for example, as 3392964 + 287099136 = 1842^2 + 16944^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 160485 + ... + 162284.

Almost surely, 2290492100 is an apocalyptic number.

290492100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290492100 is an abundant number, since it is smaller than the sum of its proper divisors (620042070).

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

290492100 is a wasteful number, since it uses less digits than its factorization.

290492100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322789 (or 322779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 290492100 is about 17043.8287951974. The cubic root of 290492100 is about 662.2847811658.

The spelling of 290492100 in words is "two hundred ninety million, four hundred ninety-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 322769 645538 968307 1291076 1613845 1936614 2904921 3227690 3873228 4841535 5809842 6455380 8069225 9683070 11619684 14524605 16138450 19366140 24207675 29049210 32276900 48415350 58098420 72623025 96830700 145246050 290492100