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9000630 = 2325971031
BaseRepresentation
bin100010010101…
…011010110110
3121221021112200
4202111122312
54301010010
6520525330
7136334622
oct42253266
917837480
109000630
115098341
123020846
131b31a22
1412a4182
15bcbcc0
hex8956b6

9000630 has 48 divisors (see below), whose sum is σ = 23665824. Its totient is φ = 2373120.

The previous prime is 9000601. The next prime is 9000637. The reversal of 9000630 is 360009.

9000630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90006302 = 162022680793800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8215 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (493038).

Almost surely, 29000630 is an apocalyptic number.

9000630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832912).

9000630 is an abundant number, since it is smaller than the sum of its proper divisors (14665194).

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

9000630 is a wasteful number, since it uses less digits than its factorization.

9000630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 9000630 is about 3000.1049981626. The cubic root of 9000630 is about 208.0132357209.

Adding to 9000630 its reverse (360009), we get a palindrome (9360639).

The spelling of 9000630 in words is "nine million, six hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1031 1455 1746 2062 2910 3093 4365 5155 6186 8730 9279 10310 15465 18558 30930 46395 92790 100007 200014 300021 500035 600042 900063 1000070 1500105 1800126 3000210 4500315 9000630