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20003328 = 29331447
BaseRepresentation
bin100110001001…
…1101000000000
31101122021102000
41030103220000
520110101303
61552424000
7332011512
oct114235000
941567360
1020003328
1110322884
126848000
1341b4ab7
142929bb2
151b51da3
hex1313a00

20003328 has 80 divisors (see below), whose sum is σ = 59252160. Its totient is φ = 6663168.

The previous prime is 20003317. The next prime is 20003369. The reversal of 20003328 is 82330002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20003328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13101 + ... + 14547.

It is an arithmetic number, because the mean of its divisors is an integer number (740652).

Almost surely, 220003328 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 20003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626080).

20003328 is an abundant number, since it is smaller than the sum of its proper divisors (39248832).

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

20003328 is an equidigital number, since it uses as much as digits as its factorization.

20003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20003328 is about 4472.5080212337. The cubic root of 20003328 is about 271.4568167942.

The spelling of 20003328 in words is "twenty million, three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1447 1536 1728 2304 2894 3456 4341 4608 5788 6912 8682 11576 13023 13824 17364 23152 26046 34728 39069 46304 52092 69456 78138 92608 104184 138912 156276 185216 208368 277824 312552 370432 416736 555648 625104 740864 833472 1111296 1250208 1666944 2222592 2500416 3333888 5000832 6667776 10001664 20003328