Search a number
-
+
420798 = 23743233
BaseRepresentation
bin1100110101110111110
3210101020010
41212232332
5101431143
613004050
73401550
oct1465676
9711203
10420798
11268174
12183626
131196c1
14ad4d0
1584a33
hex66bbe

420798 has 32 divisors (see below), whose sum is σ = 988416. Its totient is φ = 116928.

The previous prime is 420781. The next prime is 420799. The reversal of 420798 is 897024.

It is a super-3 number, since 3×4207983 = 223533313443628776, which contains 333 as substring.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (30888).

2420798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494208).

420798 is an abundant number, since it is smaller than the sum of its proper divisors (567618).

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

420798 is a wasteful number, since it uses less digits than its factorization.

420798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 420798 is about 648.6894480412. The cubic root of 420798 is about 74.9361233903.

It can be divided in two parts, 4 and 20798, that added together give a palindrome (20802).

The spelling of 420798 in words is "four hundred twenty thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 233 258 301 466 602 699 903 1398 1631 1806 3262 4893 9786 10019 20038 30057 60114 70133 140266 210399 420798