Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
300420 = 223251669
BaseRepresentation
bin1001001010110000100
3120021002200
41021112010
534103140
610234500
72360601
oct1112604
9507080
10300420
1119578a
12125a30
13a6983
147b6a8
155e030
hex49584

300420 has 36 divisors (see below), whose sum is σ = 911820. Its totient is φ = 80064.

The previous prime is 300413. The next prime is 300427. The reversal of 300420 is 24003.

It is an interprime number because it is at equal distance from previous prime (300413) and next prime (300427).

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 166464 = 366^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 300420.

It is not an unprimeable number, because it can be changed into a prime (300427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655 + ... + 1014.

2300420 is an apocalyptic number.

300420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300420 is an abundant number, since it is smaller than the sum of its proper divisors (611400).

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

300420 is a wasteful number, since it uses less digits than its factorization.

300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 300420 is about 548.1058291972. The cubic root of 300420 is about 66.9745206451.

Adding to 300420 its reverse (24003), we get a palindrome (324423).

The spelling of 300420 in words is "three hundred thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1669 3338 5007 6676 8345 10014 15021 16690 20028 25035 30042 33380 50070 60084 75105 100140 150210 300420