Search a number
-
+
420621120 = 2633589547
BaseRepresentation
bin11001000100100…
…010101101000000
31002022110202201000
4121010202231000
51330134333440
6105423212000
713265135433
oct3104425500
91068422630
10420621120
111a647a967
12b8a47000
13691b164a
143dc1181a
1526dd8730
hex19122b40

420621120 has 224 divisors, whose sum is σ = 1503273600. Its totient is φ = 110702592.

The previous prime is 420621101. The next prime is 420621127. The reversal of 420621120 is 21126024.

420621120 is a `hidden beast` number, since 4 + 20 + 621 + 1 + 20 = 666.

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 = 420621093 and 420621102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420621127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768687 + ... + 769233.

Almost surely, 2420621120 is an apocalyptic number.

420621120 is a gapful number since it is divisible by the number (40) 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 420621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751636800).

420621120 is an abundant number, since it is smaller than the sum of its proper divisors (1082652480).

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

420621120 is a wasteful number, since it uses less digits than its factorization.

420621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 420621120 is about 20509.0497098232. The cubic root of 420621120 is about 749.2562226375.

Adding to 420621120 its reverse (21126024), we get a palindrome (441747144).

The spelling of 420621120 in words is "four hundred twenty million, six hundred twenty-one thousand, one hundred twenty".