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420950541 = 31117971263
BaseRepresentation
bin11001000101110…
…011001000001101
31002100002111120210
4121011303020031
51330230404131
6105434233033
713301010024
oct3105631015
91070074523
10420950541
111a6685410
12b8b85779
136929857b
143dc998bb
1526e51146
hex1917320d

420950541 has 16 divisors (see below), whose sum is σ = 615720960. Its totient is φ = 253692720.

The previous prime is 420950513. The next prime is 420950557. The reversal of 420950541 is 145059024.

It is not a de Polignac number, because 420950541 - 213 = 420942349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420950499 and 420950508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420950501) 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, 29725 + ... + 41538.

It is an arithmetic number, because the mean of its divisors is an integer number (38482560).

Almost surely, 2420950541 is an apocalyptic number.

It is an amenable number.

420950541 is a deficient number, since it is larger than the sum of its proper divisors (194770419).

420950541 is a wasteful number, since it uses less digits than its factorization.

420950541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71456.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 420950541 is about 20517.0792511995. The cubic root of 420950541 is about 749.4517718032.

The spelling of 420950541 in words is "four hundred twenty million, nine hundred fifty thousand, five hundred forty-one".

Divisors: 1 3 11 33 179 537 1969 5907 71263 213789 783893 2351679 12756077 38268231 140316847 420950541