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420243890 = 25112536553
BaseRepresentation
bin11001000011000…
…110100110110010
31002021202121020112
4121003012212302
51330040301030
6105411141322
713262004563
oct3103064662
91067677215
10420243890
111a6242500
12b88a4842
13690aba31
143db5416a
1526d61a95
hex190c69b2

420243890 has 48 divisors (see below), whose sum is σ = 847274904. Its totient is φ = 149909760.

The previous prime is 420243883. The next prime is 420243911. The reversal of 420243890 is 98342024.

It can be written as a sum of positive squares in 4 ways, for example, as 346816129 + 73427761 = 18623^2 + 8569^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60854 + ... + 67406.

Almost surely, 2420243890 is an apocalyptic number.

420243890 is an abundant number, since it is smaller than the sum of its proper divisors (427031014).

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

420243890 is a wasteful number, since it uses less digits than its factorization.

420243890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6635 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 420243890 is about 20499.8509750681. The cubic root of 420243890 is about 749.0321679016.

The spelling of 420243890 in words is "four hundred twenty million, two hundred forty-three thousand, eight hundred ninety".

Divisors: 1 2 5 10 11 22 53 55 106 110 121 242 265 530 583 605 1166 1210 2915 5830 6413 6553 12826 13106 32065 32765 64130 65530 72083 144166 347309 360415 694618 720830 792913 1585826 1736545 3473090 3820399 3964565 7640798 7929130 19101995 38203990 42024389 84048778 210121945 420243890