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9010000 = 24541753
BaseRepresentation
bin100010010111…
…101101010000
3121221202101201
4202113231100
54301310000
6521040544
7136404136
oct42275520
917852351
109010000
1150a438a
123026154
131b3607c
1412a7756
15bce96a
hex897b50

9010000 has 100 divisors (see below), whose sum is σ = 23533092. Its totient is φ = 3328000.

The previous prime is 9009991. The next prime is 9010003. The reversal of 9010000 is 109.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4700224 + 4309776 = 2168^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9010003) 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 19 ways as a sum of consecutive naturals, for example, 169974 + ... + 170026.

Almost surely, 29010000 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 9010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766546).

9010000 is an abundant number, since it is smaller than the sum of its proper divisors (14523092).

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

9010000 is a wasteful number, since it uses less digits than its factorization.

9010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 9010000 is about 3001.6662039607. Note that the first 3 decimals coincide. The cubic root of 9010000 is about 208.0853939310.

Adding to 9010000 its reverse (109), we get a palindrome (9010109).

The spelling of 9010000 in words is "nine million, ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 53 68 80 85 100 106 125 136 170 200 212 250 265 272 340 400 424 425 500 530 625 680 848 850 901 1000 1060 1250 1325 1360 1700 1802 2000 2120 2125 2500 2650 3400 3604 4240 4250 4505 5000 5300 6625 6800 7208 8500 9010 10000 10600 10625 13250 14416 17000 18020 21200 21250 22525 26500 33125 34000 36040 42500 45050 53000 66250 72080 85000 90100 106000 112625 132500 170000 180200 225250 265000 360400 450500 530000 563125 901000 1126250 1802000 2252500 4505000 9010000