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290520096 = 25331412381
BaseRepresentation
bin10001010100001…
…111110000100000
3202020122221122120
4101110033300200
51043333120341
644454504240
710125244236
oct2124176040
9666587576
10290520096
11139a9a059
1281365080
134825bba9
142a826956
151a78a066
hex1150fc20

290520096 has 96 divisors (see below), whose sum is σ = 806754816. Its totient is φ = 91392000.

The previous prime is 290520091. The next prime is 290520133. The reversal of 290520096 is 690025092.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (290520091) 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 15 ways as a sum of consecutive naturals, for example, 120826 + ... + 123206.

It is an arithmetic number, because the mean of its divisors is an integer number (8403696).

Almost surely, 2290520096 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 290520096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403377408).

290520096 is an abundant number, since it is smaller than the sum of its proper divisors (516234720).

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

290520096 is a wasteful number, since it uses less digits than its factorization.

290520096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 290520096 is about 17044.6500697433. The cubic root of 290520096 is about 662.3060562471.

The spelling of 290520096 in words is "two hundred ninety million, five hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2381 2542 2976 3813 3936 4762 5084 7143 7626 9524 10168 14286 15252 19048 20336 28572 30504 38096 40672 57144 61008 73811 76192 97621 114288 122016 147622 195242 221433 228576 292863 295244 390484 442866 585726 590488 780968 885732 1171452 1180976 1561936 1771464 2342904 2361952 3026251 3123872 3542928 4685808 6052502 7085856 9078753 9371616 12105004 18157506 24210008 36315012 48420016 72630024 96840032 145260048 290520096