Search a number
-
+
9091589040 = 243452361001
BaseRepresentation
bin10000111011110011…
…01010001110110000
3212110121102120120000
420131321222032300
5122104421322130
64102052150000
7441204142332
oct103571521660
925417376500
109091589040
113945a68456
121918908300
13b1b73a5b1
14623657452
1538326e260
hex21de6a3b0

9091589040 has 200 divisors, whose sum is σ = 32949864288. Its totient is φ = 2318976000.

The previous prime is 9091589021. The next prime is 9091589093. The reversal of 9091589040 is 409851909.

9091589040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118540 + ... + 179540.

Almost surely, 29091589040 is an apocalyptic number.

9091589040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9091589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474932144).

9091589040 is an abundant number, since it is smaller than the sum of its proper divisors (23858275248).

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

9091589040 is a wasteful number, since it uses less digits than its factorization.

9091589040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61049 (or 61034 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9091589040 is about 95349.8245410027. The cubic root of 9091589040 is about 2087.1160546931.

The spelling of 9091589040 in words is "nine billion, ninety-one million, five hundred eighty-nine thousand, forty".