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290267136 = 2133231127
BaseRepresentation
bin10001010011010…
…010000000000000
3202020012002122200
4101103102000000
51043302022021
644445233200
710123141605
oct2123220000
9666162580
10290267136
11139936aa5
1281262800
13481a0a03
142a79c6ac
151a73a126
hex114d2000

290267136 has 168 divisors, whose sum is σ = 872361984. Its totient is φ = 92897280.

The previous prime is 290267111. The next prime is 290267137. The reversal of 290267136 is 631762092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 290267136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290267137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2285505 + ... + 2285631.

Almost surely, 2290267136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436180992).

290267136 is an abundant number, since it is smaller than the sum of its proper divisors (582094848).

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

290267136 is a wasteful number, since it uses less digits than its factorization.

290267136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 290267136 is about 17037.2279435359. The cubic root of 290267136 is about 662.1137739788.

The spelling of 290267136 in words is "two hundred ninety million, two hundred sixty-seven thousand, one hundred thirty-six".