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9085440 = 29357132
BaseRepresentation
bin100010101010…
…001000000000
3122002120212210
4202222020000
54311213230
6522422120
7140140110
oct42521000
918076783
109085440
115146031
123061940
131b61500
1412c7040
15be6eb0
hex8aa200

9085440 has 240 divisors, whose sum is σ = 35944128. Its totient is φ = 1916928.

The previous prime is 9085423. The next prime is 9085471. The reversal of 9085440 is 445809.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9085398 and 9085407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698874 + ... + 698886.

Almost surely, 29085440 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 9085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17972064).

9085440 is an abundant number, since it is smaller than the sum of its proper divisors (26858688).

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

9085440 is a wasteful number, since it uses less digits than its factorization.

9085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 9085440 is about 3014.2063632074. The cubic root of 9085440 is about 208.6645412561.

The spelling of 9085440 in words is "nine million, eighty-five thousand, four hundred forty".