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420321 = 31147271
BaseRepresentation
bin1100110100111100001
3210100120110
41212213201
5101422241
613001533
73400266
oct1464741
9710513
10420321
11267880
121832a9
13119415
14ad26d
1584816
hex669e1

420321 has 16 divisors (see below), whose sum is σ = 626688. Its totient is φ = 248400.

The previous prime is 420319. The next prime is 420323. The reversal of 420321 is 123024.

It is an interprime number because it is at equal distance from previous prime (420319) and next prime (420323).

It is not a de Polignac number, because 420321 - 21 = 420319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420297 and 420306.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420321.

It is not an unprimeable number, because it can be changed into a prime (420323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1416 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (39168).

2420321 is an apocalyptic number.

It is an amenable number.

420321 is a deficient number, since it is larger than the sum of its proper divisors (206367).

420321 is a wasteful number, since it uses less digits than its factorization.

420321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 420321 is about 648.3216794154. The cubic root of 420321 is about 74.9077978076.

Adding to 420321 its reverse (123024), we get a palindrome (543345).

It can be divided in two parts, 4203 and 21, that added together give a palindrome (4224).

The spelling of 420321 in words is "four hundred twenty thousand, three hundred twenty-one", and thus it is an iban number.

Divisors: 1 3 11 33 47 141 271 517 813 1551 2981 8943 12737 38211 140107 420321