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420364035 = 325713102653
BaseRepresentation
bin11001000011100…
…011111100000011
31002021222201001100
4121003203330003
51330103122120
6105413505443
713263015060
oct3103437403
91067881040
10420364035
111a63147a3
12b8942283
1369121620
143db85c67
1526d87490
hex190e3f03

420364035 has 48 divisors (see below), whose sum is σ = 896785344. Its totient is φ = 177382656.

The previous prime is 420364013. The next prime is 420364039. The reversal of 420364035 is 530463024.

It is not a de Polignac number, because 420364035 - 27 = 420363907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420364039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47232 + ... + 55421.

It is an arithmetic number, because the mean of its divisors is an integer number (18683028).

Almost surely, 2420364035 is an apocalyptic number.

420364035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420364035 is an abundant number, since it is smaller than the sum of its proper divisors (476421309).

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

420364035 is a wasteful number, since it uses less digits than its factorization.

420364035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102684 (or 102681 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 420364035 is about 20502.7811528095. The cubic root of 420364035 is about 749.1035422449.

The spelling of 420364035 in words is "four hundred twenty million, three hundred sixty-four thousand, thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 102653 307959 513265 718571 923877 1334489 1539795 2155713 3592855 4003467 4619385 6467139 6672445 9341423 10778565 12010401 20017335 28024269 32335695 46707115 60052005 84072807 140121345 420364035