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9072540 = 2233553317
BaseRepresentation
bin100010100110…
…111110011100
3122001221012000
4202212332130
54310310130
6522242300
7140054361
oct42467634
918057160
109072540
115137374
123056390
131b58689
1412c2468
15be3260
hex8a6f9c

9072540 has 96 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 2366208.

The previous prime is 9072523. The next prime is 9072541. The reversal of 9072540 is 452709.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9072541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28462 + ... + 28778.

It is an arithmetic number, because the mean of its divisors is an integer number (300510).

Almost surely, 29072540 is an apocalyptic number.

9072540 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 9072540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).

9072540 is an abundant number, since it is smaller than the sum of its proper divisors (19776420).

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

9072540 is a wasteful number, since it uses less digits than its factorization.

9072540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9072540 is about 3012.0657363345. The cubic root of 9072540 is about 208.5657367380.

The spelling of 9072540 in words is "nine million, seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 317 318 477 530 540 634 636 795 951 954 1060 1268 1431 1585 1590 1902 1908 2385 2853 2862 3170 3180 3804 4755 4770 5706 5724 6340 7155 8559 9510 9540 11412 14265 14310 16801 17118 19020 28530 28620 33602 34236 42795 50403 57060 67204 84005 85590 100806 151209 168010 171180 201612 252015 302418 336020 453627 504030 604836 756045 907254 1008060 1512090 1814508 2268135 3024180 4536270 9072540