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1328504220 = 223352460193
BaseRepresentation
bin100111100101111…
…0101110110011100
310102120211000012000
41033023311312130
510210044113340
6335454242300
744631046101
oct11713656634
93376730160
101328504220
116219a697a
12310ab6390
13182308194
14c8620aa8
157b970d30
hex4f2f5d9c

1328504220 has 48 divisors (see below), whose sum is σ = 4133125920. Its totient is φ = 354267648.

The previous prime is 1328504171. The next prime is 1328504237. The reversal of 1328504220 is 224058231.

1328504220 is a `hidden beast` number, since 132 + 8 + 504 + 2 + 20 = 666.

It is a super-4 number, since 4×13285042204 (a number of 38 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229557 + ... + 1230636.

It is an arithmetic number, because the mean of its divisors is an integer number (86106790).

Almost surely, 21328504220 is an apocalyptic number.

1328504220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328504220 is an abundant number, since it is smaller than the sum of its proper divisors (2804621700).

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

1328504220 is a wasteful number, since it uses less digits than its factorization.

1328504220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460211 (or 2460203 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1328504220 is about 36448.6518269195. The cubic root of 1328504220 is about 1099.3120271112.

The spelling of 1328504220 in words is "one billion, three hundred twenty-eight million, five hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2460193 4920386 7380579 9840772 12300965 14761158 22141737 24601930 29522316 36902895 44283474 49203860 66425211 73805790 88566948 110708685 132850422 147611580 221417370 265700844 332126055 442834740 664252110 1328504220