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9000369 = 33726803
BaseRepresentation
bin100010010101…
…010110110001
3121221021012000
4202111112301
54301002434
6520524213
7136334100
oct42252661
917837160
109000369
115098124
123020669
131b31881
1412a4037
15bcbb99
hex8955b1

9000369 has 24 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 5142312.

The previous prime is 9000349. The next prime is 9000377. The reversal of 9000369 is 9630009.

9000369 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9000369 - 221 = 6903217 is a prime.

It is a super-2 number, since 2×90003692 = 162013284272322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

9000369 is a modest number, since divided by 369 gives 90 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9000349) 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 23 ways as a sum of consecutive naturals, for example, 2079 + ... + 4724.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 29000369 is an apocalyptic number.

It is an amenable number.

9000369 is a deficient number, since it is larger than the sum of its proper divisors (6512751).

9000369 is a wasteful number, since it uses less digits than its factorization.

9000369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9000369 is about 3000.0614993696. The cubic root of 9000369 is about 208.0112250476.

The spelling of 9000369 in words is "nine million, three hundred sixty-nine", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 6803 20409 47621 61227 142863 183681 333347 428589 1000041 1285767 3000123 9000369