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9000144 = 243262501
BaseRepresentation
bin100010010101…
…010011010000
3121221020212200
4202111103100
54301001034
6520523200
7136333326
oct42252320
917836780
109000144
115097a3a
123020500
131b3173a
1412a3d16
15bcba99
hex8954d0

9000144 has 30 divisors (see below), whose sum is σ = 25188306. Its totient is φ = 3000000.

The previous prime is 9000143. The next prime is 9000163. The reversal of 9000144 is 4410009.

9000144 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 144 = 3000^2 + 12^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31107 + ... + 31394.

Almost surely, 29000144 is an apocalyptic number.

It is an amenable number.

9000144 is an abundant number, since it is smaller than the sum of its proper divisors (16188162).

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

9000144 is a wasteful number, since it uses less digits than its factorization.

9000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62515 (or 62506 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9000144 is about 3000.0239999040. The cubic root of 9000144 is about 208.0094916773.

Subtracting from 9000144 its product of nonzero digits (144), we obtain a square (9000000 = 30002).

The spelling of 9000144 in words is "nine million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 62501 125002 187503 250004 375006 500008 562509 750012 1000016 1125018 1500024 2250036 3000048 4500072 9000144