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420442260 = 223571924759
BaseRepresentation
bin11001000011110…
…111000010010100
31002022010200100120
4121003313002110
51330113123020
6105415311540
713263462120
oct3103670224
91068120316
10420442260
111a6368547
12b897b5b0
136914b104
143dba6580
1526da0740
hex190f7094

420442260 has 288 divisors, whose sum is σ = 1474744320. Its totient is φ = 87595776.

The previous prime is 420442247. The next prime is 420442271. The reversal of 420442260 is 62244024.

It is a self number, because there is not a number n which added to its sum of digits gives 420442260.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7126111 + ... + 7126169.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2420442260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420442260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

420442260 is an abundant number, since it is smaller than the sum of its proper divisors (1054302060).

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

420442260 is a wasteful number, since it uses less digits than its factorization.

420442260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 420442260 is about 20504.6887320925. The cubic root of 420442260 is about 749.1500059329.

Adding to 420442260 its reverse (62244024), we get a palindrome (482686284).

It can be divided in two parts, 4204 and 42260, that added together give a palindrome (46464).

The spelling of 420442260 in words is "four hundred twenty million, four hundred forty-two thousand, two hundred sixty".