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290242680 = 233572133797
BaseRepresentation
bin10001010011001…
…100000001111000
3202020010212002220
4101103030001320
51043300231210
644444524040
710123010400
oct2123140170
9666125086
10290242680
1113991a692
1281250620
1348192840
142a793800
151a732c70
hex114cc078

290242680 has 192 divisors, whose sum is σ = 1091089440. Its totient is φ = 61221888.

The previous prime is 290242663. The next prime is 290242699. The reversal of 290242680 is 86242092.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 74542 + ... + 78338.

Almost surely, 2290242680 is an apocalyptic number.

290242680 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 290242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545544720).

290242680 is an abundant number, since it is smaller than the sum of its proper divisors (800846760).

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

290242680 is a wasteful number, since it uses less digits than its factorization.

290242680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 290242680 is about 17036.5102060252. The cubic root of 290242680 is about 662.0951783391.

The spelling of 290242680 in words is "two hundred ninety million, two hundred forty-two thousand, six hundred eighty".