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290993000 = 2353290993
BaseRepresentation
bin10001010110000…
…011001101101000
3202021112222100112
4101112003031220
51043443234000
644512553452
710132254044
oct2126031550
9667488315
10290993000
1113a292391
1281552888
134839620c
142a90b024
151a830235
hex11583368

290993000 has 32 divisors (see below), whose sum is σ = 680925960. Its totient is φ = 116396800.

The previous prime is 290992969. The next prime is 290993009. The reversal of 290993000 is 399092.

It can be written as a sum of positive squares in 4 ways, for example, as 72012196 + 218980804 = 8486^2 + 14798^2 .

It is not an unprimeable number, because it can be changed into a prime (290993009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144497 + ... + 146496.

Almost surely, 2290993000 is an apocalyptic number.

290993000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290993000 is an abundant number, since it is smaller than the sum of its proper divisors (389932960).

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

290993000 is a wasteful number, since it uses less digits than its factorization.

290993000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291014 (or 291000 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 290993000 is about 17058.5169343645. The cubic root of 290993000 is about 662.6652251956.

The spelling of 290993000 in words is "two hundred ninety million, nine hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 290993 581986 1163972 1454965 2327944 2909930 5819860 7274825 11639720 14549650 29099300 36374125 58198600 72748250 145496500 290993000