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420534961 = 711192231289
BaseRepresentation
bin11001000100001…
…101101010110001
31002022022101111221
4121010031222301
51330124104321
6105421305041
713264326310
oct3104155261
91068271457
10420534961
111a6421160
12b8a05181
1369181372
143dbcc277
1526dbce41
hex1910dab1

420534961 has 32 divisors (see below), whose sum is σ = 554803200. Its totient is φ = 308810880.

The previous prime is 420534953. The next prime is 420534977. The reversal of 420534961 is 169435024.

It is a happy number.

It is not a de Polignac number, because 420534961 - 23 = 420534953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420534911) 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 31 ways as a sum of consecutive naturals, for example, 325605 + ... + 326893.

It is an arithmetic number, because the mean of its divisors is an integer number (17337600).

Almost surely, 2420534961 is an apocalyptic number.

It is an amenable number.

420534961 is a deficient number, since it is larger than the sum of its proper divisors (134268239).

420534961 is a wasteful number, since it uses less digits than its factorization.

420534961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549.

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 420534961 is about 20506.9490904913. The cubic root of 420534961 is about 749.2050605408.

Adding to 420534961 its reverse (169435024), we get a palindrome (589969985).

The spelling of 420534961 in words is "four hundred twenty million, five hundred thirty-four thousand, nine hundred sixty-one".

Divisors: 1 7 11 19 77 133 209 223 1289 1463 1561 2453 4237 9023 14179 17171 24491 29659 46607 99253 171437 269401 287447 326249 1885807 2012129 3161917 5461493 22133419 38230451 60076423 420534961