Search a number
-
+
9000831 = 37538087
BaseRepresentation
bin100010010101…
…011101111111
3121221021211010
4202111131333
54301011311
6520530303
7136335330
oct42253577
917837733
109000831
115098504
123020993
131b31b48
1412a4287
15bcbda6
hex89577f

9000831 has 16 divisors (see below), whose sum is σ = 13976064. Its totient is φ = 5045664.

The previous prime is 9000821. The next prime is 9000839. The reversal of 9000831 is 1380009.

It is not a de Polignac number, because 9000831 - 26 = 9000767 is a prime.

It is a super-2 number, since 2×90008312 = 162029917381122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 9000798 and 9000807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2931 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (873504).

Almost surely, 29000831 is an apocalyptic number.

9000831 is a deficient number, since it is larger than the sum of its proper divisors (4975233).

9000831 is a wasteful number, since it uses less digits than its factorization.

9000831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 9000831 is about 3000.1384968031. The cubic root of 9000831 is about 208.0147841439.

The spelling of 9000831 in words is "nine million, eight hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 53 159 371 1113 8087 24261 56609 169827 428611 1285833 3000277 9000831