Search a number
-
+
420415524 = 223211678209
BaseRepresentation
bin11001000011110…
…000100000100100
31002022002022200100
4121003300200210
51330111244044
6105414544100
713263321144
oct3103604044
91068068610
10420415524
111a634a451
12b8968030
136913bba9
143db9a924
1526d97869
hex190f0824

420415524 has 18 divisors (see below), whose sum is σ = 1062717110. Its totient is φ = 140138496.

The previous prime is 420415511. The next prime is 420415529. The reversal of 420415524 is 425514024.

It can be written as a sum of positive squares in only one way, i.e., 404733924 + 15681600 = 20118^2 + 3960^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (420415529) 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, 5839069 + ... + 5839140.

Almost surely, 2420415524 is an apocalyptic number.

It is an amenable number.

420415524 is an abundant number, since it is smaller than the sum of its proper divisors (642301586).

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

420415524 is a wasteful number, since it uses less digits than its factorization.

420415524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11678219 (or 11678214 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 420415524 is about 20504.0367732795. The cubic root of 420415524 is about 749.1341260678.

Adding to 420415524 its reverse (425514024), we get a palindrome (845929548).

The spelling of 420415524 in words is "four hundred twenty million, four hundred fifteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11678209 23356418 35034627 46712836 70069254 105103881 140138508 210207762 420415524