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9041040 = 2432529433
BaseRepresentation
bin100010011111…
…010010010000
3122000022222100
4202133102100
54303303130
6521440400
7136563501
oct42372220
918008870
109041040
115115738
123040100
131b47238
1412b4ba8
15bd8c60
hex89f490

9041040 has 120 divisors (see below), whose sum is σ = 31482360. Its totient is φ = 2322432.

The previous prime is 9041029. The next prime is 9041063. The reversal of 9041040 is 401409.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 8928144 = 336^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 20664 + ... + 21096.

It is an arithmetic number, because the mean of its divisors is an integer number (262353).

Almost surely, 29041040 is an apocalyptic number.

9041040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15741180).

9041040 is an abundant number, since it is smaller than the sum of its proper divisors (22441320).

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

9041040 is a wasteful number, since it uses less digits than its factorization.

9041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9041040 is about 3006.8322201280. The cubic root of 9041040 is about 208.3240756775.

Adding to 9041040 its reverse (401409), we get a palindrome (9442449).

The spelling of 9041040 in words is "nine million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 433 435 464 522 580 696 720 866 870 1044 1160 1299 1305 1392 1732 1740 2088 2165 2320 2598 2610 3464 3480 3897 4176 4330 5196 5220 6495 6928 6960 7794 8660 10392 10440 12557 12990 15588 17320 19485 20784 20880 25114 25980 31176 34640 37671 38970 50228 51960 62352 62785 75342 77940 100456 103920 113013 125570 150684 155880 188355 200912 226026 251140 301368 311760 376710 452052 502280 565065 602736 753420 904104 1004560 1130130 1506840 1808208 2260260 3013680 4520520 9041040