Search a number
-
+
420231064 = 23112538191
BaseRepresentation
bin11001000011000…
…011011110011000
31002021201221122111
4121003003132120
51330034343224
6105411002104
713261622311
oct3103033630
91067657574
10420231064
111a6233900
12b8899334
13690a5c46
143db4d608
1526d5cd94
hex190c3798

420231064 has 48 divisors (see below), whose sum is σ = 882524160. Its totient is φ = 187387200.

The previous prime is 420231061. The next prime is 420231103. The reversal of 420231064 is 460132024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420231061) 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 11 ways as a sum of consecutive naturals, for example, 47209 + ... + 55399.

It is an arithmetic number, because the mean of its divisors is an integer number (18385920).

Almost surely, 2420231064 is an apocalyptic number.

420231064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420231064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

420231064 is an abundant number, since it is smaller than the sum of its proper divisors (462293096).

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

420231064 is a wasteful number, since it uses less digits than its factorization.

420231064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 420231064 is about 20499.5381411387. The cubic root of 420231064 is about 749.0245475771.

Adding to 420231064 its reverse (460132024), we get a palindrome (880363088).

The spelling of 420231064 in words is "four hundred twenty million, two hundred thirty-one thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 424 484 583 968 1166 2332 4664 6413 8191 12826 16382 25652 32764 51304 65528 90101 180202 360404 434123 720808 868246 991111 1736492 1982222 3472984 3964444 4775353 7928888 9550706 19101412 38202824 52528883 105057766 210115532 420231064