Search a number
-
+
6318420100 = 225273865537
BaseRepresentation
bin1011110001001101…
…10111000010000100
3121022100012222221021
411320212313002010
5100420003420400
62522545400524
7312401453566
oct57046670204
917270188837
106318420100
1127526465a3
121284039144
13799045b25
1443d219336
1526ea8471a
hex1789b7084

6318420100 has 36 divisors (see below), whose sum is σ = 13898809204. Its totient is φ = 2492743680.

The previous prime is 6318420083. The next prime is 6318420103. The reversal of 6318420100 is 10248136.

It can be written as a sum of positive squares in 6 ways, for example, as 1285652736 + 5032767364 = 35856^2 + 70942^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6318420103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425469 + ... + 440068.

Almost surely, 26318420100 is an apocalyptic number.

It is an amenable number.

6318420100 is an abundant number, since it is smaller than the sum of its proper divisors (7580389104).

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

6318420100 is a wasteful number, since it uses less digits than its factorization.

6318420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865624 (or 865617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6318420100 is about 79488.4903618128. The cubic root of 6318420100 is about 1848.7130177294.

Adding to 6318420100 its reverse (10248136), we get a palindrome (6328668236).

The spelling of 6318420100 in words is "six billion, three hundred eighteen million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 865537 1731074 3462148 4327685 8655370 17310740 21638425 43276850 63184201 86553700 126368402 252736804 315921005 631842010 1263684020 1579605025 3159210050 6318420100