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9030100 = 2252731237
BaseRepresentation
bin100010011100…
…100111010100
3121222202222011
4202130213110
54302430400
6521314004
7136516552
oct42344724
917882864
109030100
1151084a2
123035904
131b42271
1412b0bd2
15bd58ba
hex89c9d4

9030100 has 36 divisors (see below), whose sum is σ = 19879804. Its totient is φ = 3559680.

The previous prime is 9030089. The next prime is 9030101. The reversal of 9030100 is 10309.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6084 + 9024016 = 78^2 + 3004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9030101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6682 + ... + 7918.

Almost surely, 29030100 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 9030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939902).

9030100 is an abundant number, since it is smaller than the sum of its proper divisors (10849704).

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

9030100 is a wasteful number, since it uses less digits than its factorization.

9030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 9030100 is about 3005.0124791754. The cubic root of 9030100 is about 208.2400150953.

Adding to 9030100 its reverse (10309), we get a palindrome (9040409).

The spelling of 9030100 in words is "nine million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1237 1460 1825 2474 3650 4948 6185 7300 12370 24740 30925 61850 90301 123700 180602 361204 451505 903010 1806020 2257525 4515050 9030100