Search a number
-
+
420421032 = 23325839181
BaseRepresentation
bin11001000011110…
…001110110101000
31002022002121020100
4121003301312220
51330111433112
6105415025400
713263343203
oct3103616650
91068077210
10420421032
111a63535a9
12b896b260
1369141555
143db9c93a
1526d992dc
hex190f1da8

420421032 has 24 divisors (see below), whose sum is σ = 1138640490. Its totient is φ = 140140320.

The previous prime is 420421031. The next prime is 420421073. The reversal of 420421032 is 230124024.

420421032 is a `hidden beast` number, since 420 + 4 + 210 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 409091076 + 11329956 = 20226^2 + 3366^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420420996 and 420421014.

It is not an unprimeable number, because it can be changed into a prime (420421031) 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, 2919519 + ... + 2919662.

Almost surely, 2420421032 is an apocalyptic number.

It is an amenable number.

420421032 is an abundant number, since it is smaller than the sum of its proper divisors (718219458).

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

420421032 is a wasteful number, since it uses less digits than its factorization.

420421032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839193 (or 5839186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420421032 is about 20504.1710878543. The cubic root of 420421032 is about 749.1373976032.

Adding to 420421032 its reverse (230124024), we get a palindrome (650545056).

The spelling of 420421032 in words is "four hundred twenty million, four hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5839181 11678362 17517543 23356724 35035086 46713448 52552629 70070172 105105258 140140344 210210516 420421032