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420850020 = 223597167433
BaseRepresentation
bin11001000101011…
…010100101100100
31002022220101200210
4121011122211210
51330214200040
6105432135420
713300110663
oct3105324544
91068811623
10420850020
111a6616938
12b8b37570
13692618a6
143dc70dda
1526e31480
hex1915a964

420850020 has 96 divisors (see below), whose sum is σ = 1200423168. Its totient is φ = 110149632.

The previous prime is 420849997. The next prime is 420850043. The reversal of 420850020 is 20058024.

420850020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (420849997) and next prime (420850043).

It is a super-2 number, since 2×4208500202 = 354229478668000800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 971724 + ... + 972156.

It is an arithmetic number, because the mean of its divisors is an integer number (12504408).

Almost surely, 2420850020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420850020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600211584).

420850020 is an abundant number, since it is smaller than the sum of its proper divisors (779573148).

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

420850020 is a wasteful number, since it uses less digits than its factorization.

420850020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 420850020 is about 20514.6294141522. The cubic root of 420850020 is about 749.3921118736.

The spelling of 420850020 in words is "four hundred twenty million, eight hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 167 194 291 334 388 433 485 501 582 668 835 866 970 1002 1164 1299 1455 1670 1732 1940 2004 2165 2505 2598 2910 3340 4330 5010 5196 5820 6495 8660 10020 12990 16199 25980 32398 42001 48597 64796 72311 80995 84002 97194 126003 144622 161990 168004 194388 210005 216933 242985 252006 289244 323980 361555 420010 433866 485970 504012 630015 723110 840020 867732 971940 1084665 1260030 1446220 2169330 2520060 4338660 7014167 14028334 21042501 28056668 35070835 42085002 70141670 84170004 105212505 140283340 210425010 420850020