Search a number
-
+
9040640 = 28571009
BaseRepresentation
bin100010011111…
…001100000000
3122000022102112
4202133030000
54303300030
6521434452
7136562360
oct42371400
918008375
109040640
115115404
12303ba28
131b46cbb
1412b49a0
15bd8a95
hex89f300

9040640 has 72 divisors (see below), whose sum is σ = 24773280. Its totient is φ = 3096576.

The previous prime is 9040639. The next prime is 9040693. The reversal of 9040640 is 460409.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8456 + ... + 9464.

Almost surely, 29040640 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 9040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386640).

9040640 is an abundant number, since it is smaller than the sum of its proper divisors (15732640).

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

9040640 is a wasteful number, since it uses less digits than its factorization.

9040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 9040640 is about 3006.7657042078. The cubic root of 9040640 is about 208.3210033592.

The spelling of 9040640 in words is "nine million, forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1009 1120 1280 1792 2018 2240 4036 4480 5045 7063 8072 8960 10090 14126 16144 20180 28252 32288 35315 40360 56504 64576 70630 80720 113008 129152 141260 161440 226016 258304 282520 322880 452032 565040 645760 904064 1130080 1291520 1808128 2260160 4520320 9040640