Search a number
-
+
630146200 = 23523738447
BaseRepresentation
bin100101100011110…
…100010010011000
31121220201202002011
4211203310102120
52242304134300
6142310115304
721421103635
oct4543642230
91556652064
10630146200
112a3779192
1215704bb34
13a0722298
145d99318c
153a4c4eba
hex258f4498

630146200 has 48 divisors (see below), whose sum is σ = 1469191680. Its totient is φ = 251352960.

The previous prime is 630146183. The next prime is 630146201. The reversal of 630146200 is 2641036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630146201) 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 11 ways as a sum of consecutive naturals, for example, 70377 + ... + 78823.

It is an arithmetic number, because the mean of its divisors is an integer number (30608160).

Almost surely, 2630146200 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 630146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734595840).

630146200 is an abundant number, since it is smaller than the sum of its proper divisors (839045480).

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

630146200 is a wasteful number, since it uses less digits than its factorization.

630146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 630146200 is about 25102.7130007894. The cubic root of 630146200 is about 857.3281961649.

Adding to 630146200 its reverse (2641036), we get a palindrome (632787236).

The spelling of 630146200 in words is "six hundred thirty million, one hundred forty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1492 1865 2984 3730 7460 8447 9325 14920 16894 18650 33788 37300 42235 67576 74600 84470 168940 211175 337880 422350 844700 1689400 3150731 6301462 12602924 15753655 25205848 31507310 63014620 78768275 126029240 157536550 315073100 630146200