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420109581 = 33722716673
BaseRepresentation
bin11001000010100…
…101110100001101
31002021111210000010
4121002211310031
51330022001311
6105404223433
713260605163
oct3102456415
91067453003
10420109581
111a6160601
12b883ab79
1369062868
143db1b233
1526d36da6
hex190a5d0d

420109581 has 16 divisors (see below), whose sum is σ = 577854144. Its totient is φ = 271286784.

The previous prime is 420109579. The next prime is 420109603. The reversal of 420109581 is 185901024.

It is a happy number.

It is not a de Polignac number, because 420109581 - 21 = 420109579 is a prime.

It is a super-2 number, since 2×4201095812 = 352984120095991122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420109511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16861 + ... + 33533.

It is an arithmetic number, because the mean of its divisors is an integer number (36115884).

Almost surely, 2420109581 is an apocalyptic number.

It is an amenable number.

420109581 is a deficient number, since it is larger than the sum of its proper divisors (157744563).

420109581 is a wasteful number, since it uses less digits than its factorization.

420109581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16940.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 420109581 is about 20496.5748602053. The cubic root of 420109581 is about 748.9523630683.

The spelling of 420109581 in words is "four hundred twenty million, one hundred nine thousand, five hundred eighty-one".

Divisors: 1 3 37 111 227 681 8399 16673 25197 50019 616901 1850703 3784771 11354313 140036527 420109581