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9009140 = 2257229317
BaseRepresentation
bin100010010111…
…011111110100
3121221201012212
4202113133310
54301243030
6521032552
7136401500
oct42273764
917851185
109009140
1150a3778
123025758
131b3586a
1412a7300
15bce595
hex8977f4

9009140 has 72 divisors (see below), whose sum is σ = 22838760. Its totient is φ = 2972928.

The previous prime is 9009107. The next prime is 9009157. The reversal of 9009140 is 419009.

It can be written as a sum of positive squares in 4 ways, for example, as 33124 + 8976016 = 182^2 + 2996^2 .

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, 28262 + ... + 28578.

It is an arithmetic number, because the mean of its divisors is an integer number (317205).

Almost surely, 29009140 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 9009140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419380).

9009140 is an abundant number, since it is smaller than the sum of its proper divisors (13829620).

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

9009140 is a wasteful number, since it uses less digits than its factorization.

9009140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 9009140 is about 3001.5229467722. The cubic root of 9009140 is about 208.0787731714.

The spelling of 9009140 in words is "nine million, nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 317 406 490 580 634 812 980 1015 1268 1421 1585 2030 2219 2842 3170 4060 4438 5684 6340 7105 8876 9193 11095 14210 15533 18386 22190 28420 31066 36772 44380 45965 62132 64351 77665 91930 128702 155330 183860 257404 310660 321755 450457 643510 900914 1287020 1801828 2252285 4504570 9009140