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590090368 = 2774116063
BaseRepresentation
bin100011001011000…
…001000010000000
31112010100200210211
4203023001002000
52202030342433
6134315403504
720423454040
oct4313010200
91463320724
10590090368
112830aa69a
12145753594
13953391ca
1458527720
1536c118cd
hex232c1080

590090368 has 64 divisors (see below), whose sum is σ = 1376363520. Its totient is φ = 246712320.

The previous prime is 590090321. The next prime is 590090401. The reversal of 590090368 is 863090095.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 590090368.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28705 + ... + 44767.

It is an arithmetic number, because the mean of its divisors is an integer number (21505680).

Almost surely, 2590090368 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 590090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688181760).

590090368 is an abundant number, since it is smaller than the sum of its proper divisors (786273152).

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

590090368 is a wasteful number, since it uses less digits than its factorization.

590090368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16125 (or 16113 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 590090368 is about 24291.7757275997. The cubic root of 590090368 is about 838.7634716576.

The spelling of 590090368 in words is "five hundred ninety million, ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 4592 5248 9184 16063 18368 32126 36736 64252 112441 128504 224882 257008 449764 514016 658583 899528 1028032 1317166 1799056 2056064 2634332 3598112 4610081 5268664 7196224 9220162 10537328 14392448 18440324 21074656 36880648 42149312 73761296 84298624 147522592 295045184 590090368