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906320 = 24511329
BaseRepresentation
bin11011101010001010000
31201001020102
43131101100
5213000240
631231532
710463222
oct3352120
91631212
10906320
11569a28
123785a8
132596ac
14198412
1512d815
hexdd450

906320 has 20 divisors (see below), whose sum is σ = 2107380. Its totient is φ = 362496.

The previous prime is 906317. The next prime is 906329. The reversal of 906320 is 23609.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 322624 + 583696 = 568^2 + 764^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×9063203 = 2233397090747904000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 906292 and 906301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5585 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (105369).

2906320 is an apocalyptic number.

It is an amenable number.

906320 is an abundant number, since it is smaller than the sum of its proper divisors (1201060).

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

906320 is a wasteful number, since it uses less digits than its factorization.

906320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 906320 is about 952.0084033243. The cubic root of 906320 is about 96.7744075503.

Adding to 906320 its reverse (23609), we get a palindrome (929929).

The spelling of 906320 in words is "nine hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11329 22658 45316 56645 90632 113290 181264 226580 453160 906320