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420361000 = 2353420361
BaseRepresentation
bin11001000011100…
…011001100101000
31002021222112212221
4121003203030220
51330103023000
6105413443424
713263003163
oct3103431450
91067875787
10420361000
111a6312494
12b8940574
1369120127
143db84ada
1526d8661a
hex190e3328

420361000 has 32 divisors (see below), whose sum is σ = 983647080. Its totient is φ = 168144000.

The previous prime is 420360977. The next prime is 420361001. The reversal of 420361000 is 163024.

It can be written as a sum of positive squares in 4 ways, for example, as 236975236 + 183385764 = 15394^2 + 13542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420361001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209181 + ... + 211180.

Almost surely, 2420361000 is an apocalyptic number.

420361000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420361000 is an abundant number, since it is smaller than the sum of its proper divisors (563286080).

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

420361000 is a wasteful number, since it uses less digits than its factorization.

420361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420382 (or 420368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 420361000 is about 20502.7071383269. The cubic root of 420361000 is about 749.1017394149.

The spelling of 420361000 in words is "four hundred twenty million, three hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 420361 840722 1681444 2101805 3362888 4203610 8407220 10509025 16814440 21018050 42036100 52545125 84072200 105090250 210180500 420361000