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9053820 = 22325179281
BaseRepresentation
bin100010100010…
…011001111100
3122000222111200
4202202121330
54304210240
6522015500
7136645656
oct42423174
918028450
109053820
1151242a6
123047590
131b4ccb9
1412b96d6
15bdc930
hex8a267c

9053820 has 72 divisors (see below), whose sum is σ = 27714960. Its totient is φ = 2392320.

The previous prime is 9053819. The next prime is 9053827. The reversal of 9053820 is 283509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9053827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32080 + ... + 32360.

It is an arithmetic number, because the mean of its divisors is an integer number (384930).

Almost surely, 29053820 is an apocalyptic number.

9053820 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 9053820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857480).

9053820 is an abundant number, since it is smaller than the sum of its proper divisors (18661140).

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

9053820 is a wasteful number, since it uses less digits than its factorization.

9053820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9053820 is about 3008.9566297971. The cubic root of 9053820 is about 208.4221885863.

The spelling of 9053820 in words is "nine million, fifty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 281 358 537 562 716 843 895 1074 1124 1405 1611 1686 1790 2148 2529 2685 2810 3222 3372 3580 4215 5058 5370 5620 6444 8055 8430 10116 10740 12645 16110 16860 25290 32220 50299 50580 100598 150897 201196 251495 301794 452691 502990 603588 754485 905382 1005980 1508970 1810764 2263455 3017940 4526910 9053820