Search a number
-
+
420030300 = 223525326417
BaseRepresentation
bin11001000010010…
…010011101011100
31002021100202020210
4121002102131130
51330011432200
6105402412420
713260125064
oct3102223534
91067322223
10420030300
111a6106a88
12b8801110
1369035751
143dada3a4
1526d1d650
hex1909275c

420030300 has 72 divisors (see below), whose sum is σ = 1238264496. Its totient is φ = 109890560.

The previous prime is 420030277. The next prime is 420030307. The reversal of 420030300 is 3030024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420030307) 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 23 ways as a sum of consecutive naturals, for example, 2692 + ... + 29108.

It is an arithmetic number, because the mean of its divisors is an integer number (17198118).

Almost surely, 2420030300 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 420030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619132248).

420030300 is an abundant number, since it is smaller than the sum of its proper divisors (818234196).

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

420030300 is a wasteful number, since it uses less digits than its factorization.

420030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26487 (or 26480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 420030300 is about 20494.6407628921. The cubic root of 420030300 is about 748.9052472438.

Adding to 420030300 its reverse (3030024), we get a palindrome (423060324).

The spelling of 420030300 in words is "four hundred twenty million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 26417 52834 79251 105668 132085 158502 264170 317004 396255 528340 660425 792510 1320850 1400101 1585020 1981275 2641700 2800202 3962550 4200303 5600404 7000505 7925100 8400606 14001010 16801212 21001515 28002020 35002525 42003030 70005050 84006060 105007575 140010100 210015150 420030300