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420263680 = 285328331
BaseRepresentation
bin11001000011001…
…011011100000000
31002021210121101111
4121003023130000
51330041414210
6105411413104
713262116354
oct3103133400
91067717344
10420263680
111a6256361
12b88b4194
13690b7a45
143db5b464
1526d6788a
hex190cb700

420263680 has 36 divisors (see below), whose sum is σ = 1006665912. Its totient is φ = 168104960.

The previous prime is 420263663. The next prime is 420263687. The reversal of 420263680 is 86362024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420263687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162886 + ... + 165445.

It is an arithmetic number, because the mean of its divisors is an integer number (27962942).

Almost surely, 2420263680 is an apocalyptic number.

420263680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420263680 is an abundant number, since it is smaller than the sum of its proper divisors (586402232).

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

420263680 is an equidigital number, since it uses as much as digits as its factorization.

420263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328352 (or 328338 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 420263680 is about 20500.3336558213. Note that the first 3 decimals coincide. The cubic root of 420263680 is about 749.0439254502.

The spelling of 420263680 in words is "four hundred twenty million, two hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 328331 656662 1313324 1641655 2626648 3283310 5253296 6566620 10506592 13133240 21013184 26266480 42026368 52532960 84052736 105065920 210131840 420263680