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420459327 = 321134011031
BaseRepresentation
bin11001000011111…
…011001100111111
31002022011112202200
4121003323030333
51330114144302
6105415522543
713263562641
oct3103731477
91068145680
10420459327
111a637a352
12b8989453
1369155b02
143dbac891
1526da581c
hex190fb33f

420459327 has 24 divisors (see below), whose sum is σ = 614828448. Its totient is φ = 276864000.

The previous prime is 420459301. The next prime is 420459331. The reversal of 420459327 is 723954024.

420459327 is a `hidden beast` number, since 42 + 0 + 4 + 593 + 27 = 666.

It is not a de Polignac number, because 420459327 - 28 = 420459071 is a prime.

It is a super-2 number, since 2×4204593272 = 353572091322585858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420459291 and 420459300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420459337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407302 + ... + 408332.

It is an arithmetic number, because the mean of its divisors is an integer number (25617852).

Almost surely, 2420459327 is an apocalyptic number.

420459327 is a deficient number, since it is larger than the sum of its proper divisors (194369121).

420459327 is a wasteful number, since it uses less digits than its factorization.

420459327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 420459327 is about 20505.1049009753. The cubic root of 420459327 is about 749.1601425370.

The spelling of 420459327 in words is "four hundred twenty million, four hundred fifty-nine thousand, three hundred twenty-seven".

Divisors: 1 3 9 113 339 401 1017 1031 1203 3093 3609 9279 45313 116503 135939 349509 407817 413431 1048527 1240293 3720879 46717703 140153109 420459327