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420921 = 3246769
BaseRepresentation
bin1100110110000111001
3210101101200
41212300321
5101432141
613004413
73402114
oct1466071
9711350
10420921
11268276
12183709
13119787
14ad57b
1584ab6
hex66c39

420921 has 6 divisors (see below), whose sum is σ = 608010. Its totient is φ = 280608.

The previous prime is 420919. The next prime is 420929. The reversal of 420921 is 129024.

It can be written as a sum of positive squares in only one way, i.e., 308025 + 112896 = 555^2 + 336^2 .

It is not a de Polignac number, because 420921 - 21 = 420919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420894 and 420903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420921.

It is not an unprimeable number, because it can be changed into a prime (420929) 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, 23376 + ... + 23393.

It is an arithmetic number, because the mean of its divisors is an integer number (101335).

2420921 is an apocalyptic number.

It is an amenable number.

420921 is a deficient number, since it is larger than the sum of its proper divisors (187089).

420921 is a wasteful number, since it uses less digits than its factorization.

420921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46775 (or 46772 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 420921 is about 648.7842476509. The cubic root of 420921 is about 74.9434239995.

Subtracting from 420921 its sum of digits (18), we obtain a triangular number (420903 = T917).

Adding to 420921 its reverse (129024), we get a palindrome (549945).

The spelling of 420921 in words is "four hundred twenty thousand, nine hundred twenty-one".

Divisors: 1 3 9 46769 140307 420921