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290870020 = 22579721419
BaseRepresentation
bin10001010101100…
…101001100000100
3202021022201122201
4101111211030010
51043430320040
644510204244
710131232360
oct2125451404
9667281581
10290870020
1113a208a51
12814b3684
134835224c
142a8b82a0
151a808a9a
hex11565304

290870020 has 48 divisors (see below), whose sum is σ = 705317760. Its totient is φ = 98694144.

The previous prime is 290869979. The next prime is 290870039. The reversal of 290870020 is 20078092.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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, 2871 + ... + 24289.

It is an arithmetic number, because the mean of its divisors is an integer number (14694120).

Almost surely, 2290870020 is an apocalyptic number.

290870020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290870020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352658880).

290870020 is an abundant number, since it is smaller than the sum of its proper divisors (414447740).

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

290870020 is a wasteful number, since it uses less digits than its factorization.

290870020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21532 (or 21530 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 290870020 is about 17054.9119024403. The cubic root of 290870020 is about 662.5718597738.

The spelling of 290870020 in words is "two hundred ninety million, eight hundred seventy thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 6790 13580 21419 42838 85676 107095 149933 214190 299866 428380 599732 749665 1499330 2077643 2998660 4155286 8310572 10388215 14543501 20776430 29087002 41552860 58174004 72717505 145435010 290870020