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290608720 = 2453632609
BaseRepresentation
bin10001010100100…
…101011001010000
3202020211110012221
4101110211121100
51043343434340
644500430424
710126063513
oct2124453120
9666743187
10290608720
1113a04a6a6
12813a8414
134829032c
142a84ad7a
151a7a644a
hex11525650

290608720 has 20 divisors (see below), whose sum is σ = 675665460. Its totient is φ = 116243456.

The previous prime is 290608691. The next prime is 290608729. The reversal of 290608720 is 27806092.

It can be written as a sum of positive squares in 2 ways, for example, as 162103824 + 128504896 = 12732^2 + 11336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290608729) 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 3 ways as a sum of consecutive naturals, for example, 1816225 + ... + 1816384.

It is an arithmetic number, because the mean of its divisors is an integer number (33783273).

Almost surely, 2290608720 is an apocalyptic number.

290608720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290608720 is an abundant number, since it is smaller than the sum of its proper divisors (385056740).

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

290608720 is a wasteful number, since it uses less digits than its factorization.

290608720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632622 (or 3632616 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 290608720 is about 17047.2496315388. The cubic root of 290608720 is about 662.3733955296.

The spelling of 290608720 in words is "two hundred ninety million, six hundred eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3632609 7265218 14530436 18163045 29060872 36326090 58121744 72652180 145304360 290608720