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420137973 = 3246681997
BaseRepresentation
bin11001000010101…
…100101111110101
31002021120012221200
4121002230233311
51330023403343
6105405003113
713261054023
oct3102545765
91067505850
10420137973
111a617a972
12b8853499
1369072768
143db27713
1526d404d3
hex190acbf5

420137973 has 6 divisors (see below), whose sum is σ = 606865974. Its totient is φ = 280091976.

The previous prime is 420137959. The next prime is 420137981. The reversal of 420137973 is 379731024.

It can be written as a sum of positive squares in only one way, i.e., 408727089 + 11410884 = 20217^2 + 3378^2 .

It is not a de Polignac number, because 420137973 - 29 = 420137461 is a prime.

It is a super-3 number, since 3×4201379733 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420137903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23340990 + ... + 23341007.

It is an arithmetic number, because the mean of its divisors is an integer number (101144329).

Almost surely, 2420137973 is an apocalyptic number.

It is an amenable number.

420137973 is a deficient number, since it is larger than the sum of its proper divisors (186728001).

420137973 is a wasteful number, since it uses less digits than its factorization.

420137973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46682003 (or 46682000 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 420137973 is about 20497.2674520288. The cubic root of 420137973 is about 748.9692346795.

Adding to 420137973 its reverse (379731024), we get a palindrome (799868997).

The spelling of 420137973 in words is "four hundred twenty million, one hundred thirty-seven thousand, nine hundred seventy-three".

Divisors: 1 3 9 46681997 140045991 420137973