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290580993 = 3319355763
BaseRepresentation
bin10001010100011…
…110101000000001
3202020210001012000
4101110132220001
51043342042433
644500054213
710125616623
oct2124365001
9666701160
10290580993
1113a03088a
1281394369
1348280821
142a840c13
151a79d113
hex1151ea01

290580993 has 16 divisors (see below), whose sum is σ = 432728640. Its totient is φ = 192713472.

The previous prime is 290580989. The next prime is 290581009. The reversal of 290580993 is 399085092.

It is not a de Polignac number, because 290580993 - 22 = 290580989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (290580193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22671 + ... + 33092.

It is an arithmetic number, because the mean of its divisors is an integer number (27045540).

Almost surely, 2290580993 is an apocalyptic number.

It is an amenable number.

290580993 is a deficient number, since it is larger than the sum of its proper divisors (142147647).

290580993 is a wasteful number, since it uses less digits than its factorization.

290580993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55965 (or 55959 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 290580993 is about 17046.4363724504. The cubic root of 290580993 is about 662.3523291610.

The spelling of 290580993 in words is "two hundred ninety million, five hundred eighty thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 193 579 1737 5211 55763 167289 501867 1505601 10762259 32286777 96860331 290580993