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9008940 = 2235532833
BaseRepresentation
bin100010010111…
…011100101100
3121221200221110
4202113130230
54301241230
6521032020
7136401063
oct42273454
917850843
109008940
1150a3606
123025610
131b35745
1412a71da
15bce4b0
hex89772c

9008940 has 48 divisors (see below), whose sum is σ = 25710048. Its totient is φ = 2356224.

The previous prime is 9008933. The next prime is 9008947. The reversal of 9008940 is 498009.

9008940 is digitally balanced in base 2, base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9008933) and next prime (9008947).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9008898 and 9008907.

It is not an unprimeable number, because it can be changed into a prime (9008947) 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, 1764 + ... + 4596.

It is an arithmetic number, because the mean of its divisors is an integer number (535626).

Almost surely, 29008940 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 9008940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12855024).

9008940 is an abundant number, since it is smaller than the sum of its proper divisors (16701108).

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

9008940 is a wasteful number, since it uses less digits than its factorization.

9008940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9008940 is about 3001.4896301670. The cubic root of 9008940 is about 208.0772333994.

The spelling of 9008940 in words is "nine million, eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2833 3180 5666 8499 11332 14165 16998 28330 33996 42495 56660 84990 150149 169980 300298 450447 600596 750745 900894 1501490 1801788 2252235 3002980 4504470 9008940