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420130000 = 245442013
BaseRepresentation
bin11001000010101…
…010110011010000
31002021112211000101
4121002222303100
51330023130000
6105404502144
713261021543
oct3102526320
91067484011
10420130000
111a6174984
12b884a954
136906bc44
143db2485a
1526d3ce6a
hex190aacd0

420130000 has 50 divisors (see below), whose sum is σ = 1017200954. Its totient is φ = 168048000.

The previous prime is 420129967. The next prime is 420130001. The reversal of 420130000 is 31024.

It can be written as a sum of positive squares in 5 ways, for example, as 113039424 + 307090576 = 10632^2 + 17524^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420130001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11007 + ... + 31006.

Almost surely, 2420130000 is an apocalyptic number.

420130000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420130000 is an abundant number, since it is smaller than the sum of its proper divisors (597070954).

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

420130000 is an equidigital number, since it uses as much as digits as its factorization.

420130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42041 (or 42020 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 420130000 is about 20497.0729617670. The cubic root of 420130000 is about 748.9644968950.

Adding to 420130000 its reverse (31024), we get a palindrome (420161024).

The spelling of 420130000 in words is "four hundred twenty million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 42013 84026 168052 210065 336104 420130 672208 840260 1050325 1680520 2100650 3361040 4201300 5251625 8402600 10503250 16805200 21006500 26258125 42013000 52516250 84026000 105032500 210065000 420130000