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290328045520 = 2453629100569
BaseRepresentation
bin1000011100110001110…
…01100110011111010000
31000202101110102211110211
410032120321212133100
514224042434424040
6341212545333504
726655412445332
oct4163071463720
91022343384424
10290328045520
11102144681797
1248326337294
13214bb0ab716
14100a27b3452
1578434ee8ea
hex4398e667d0

290328045520 has 20 divisors (see below), whose sum is σ = 675012706020. Its totient is φ = 116131218176.

The previous prime is 290328045517. The next prime is 290328045541. The reversal of 290328045520 is 25540823092.

It can be written as a sum of positive squares in 2 ways, for example, as 154131619216 + 136196426304 = 392596^2 + 369048^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1814550205 + ... + 1814550364.

It is an arithmetic number, because the mean of its divisors is an integer number (33750635301).

Almost surely, 2290328045520 is an apocalyptic number.

290328045520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290328045520 is an abundant number, since it is smaller than the sum of its proper divisors (384684660500).

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

290328045520 is a wasteful number, since it uses less digits than its factorization.

290328045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629100582 (or 3629100576 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 290328045520 in words is "two hundred ninety billion, three hundred twenty-eight million, forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3629100569 7258201138 14516402276 18145502845 29032804552 36291005690 58065609104 72582011380 145164022760 290328045520