Search a number
-
+
630500 = 22531397
BaseRepresentation
bin10011001111011100100
31012000212212
42121323210
5130134000
621302552
75234123
oct2317344
91160785
10630500
113a0782
12264a58
13190ca0
14125aba
15c6c35
hex99ee4

630500 has 48 divisors (see below), whose sum is σ = 1498224. Its totient is φ = 230400.

The previous prime is 630493. The next prime is 630521. The reversal of 630500 is 5036.

630500 = T129 + T130 + ... + T180.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 341056 + 289444 = 584^2 + 538^2 .

It is a congruent number.

It is an unprimeable number.

630500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6452 + ... + 6548.

It is an arithmetic number, because the mean of its divisors is an integer number (31213).

2630500 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 630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749112).

630500 is an abundant number, since it is smaller than the sum of its proper divisors (867724).

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

630500 is a wasteful number, since it uses less digits than its factorization.

630500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 630500 is about 794.0403012442. The cubic root of 630500 is about 85.7488617120.

Adding to 630500 its reverse (5036), we get a palindrome (635536).

The spelling of 630500 in words is "six hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 125 130 194 250 260 325 388 485 500 650 970 1261 1300 1625 1940 2425 2522 3250 4850 5044 6305 6500 9700 12125 12610 24250 25220 31525 48500 63050 126100 157625 315250 630500