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290870272 = 21072111731
BaseRepresentation
bin10001010101100…
…101010000000000
3202021022202000001
4101111211100000
51043430322042
644510205344
710131233200
oct2125452000
9667282001
10290870272
1113a209160
12814b3854
13483523b4
142a8b8400
151a808bb7
hex11565400

290870272 has 264 divisors, whose sum is σ = 806485248. Its totient is φ = 103219200.

The previous prime is 290870269. The next prime is 290870291. The reversal of 290870272 is 272078092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9382897 + ... + 9382927.

Almost surely, 2290870272 is an apocalyptic number.

290870272 is a gapful number since it is divisible by the number (22) 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 290870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403242624).

290870272 is an abundant number, since it is smaller than the sum of its proper divisors (515614976).

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

290870272 is a wasteful number, since it uses less digits than its factorization.

290870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 290870272 is about 17054.9192903397. The cubic root of 290870272 is about 662.5720511171.

The spelling of 290870272 in words is "two hundred ninety million, eight hundred seventy thousand, two hundred seventy-two".