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2128160 = 25547283
BaseRepresentation
bin1000000111100100100000
311000010021202
420013210200
51021100120
6113340332
724042356
oct10074440
94003252
102128160
111223a11
128676a8
13596888
143d57d6
152c0875
hex207920

2128160 has 48 divisors (see below), whose sum is σ = 5152896. Its totient is φ = 830208.

The previous prime is 2128157. The next prime is 2128177. The reversal of 2128160 is 618212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7379 + ... + 7661.

It is an arithmetic number, because the mean of its divisors is an integer number (107352).

22128160 is an apocalyptic number.

2128160 is a gapful number since it is divisible by the number (20) 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 2128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576448).

2128160 is an abundant number, since it is smaller than the sum of its proper divisors (3024736).

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

2128160 is a wasteful number, since it uses less digits than its factorization.

2128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2128160 is about 1458.8214421237. The cubic root of 2128160 is about 128.6277754198.

The spelling of 2128160 in words is "two million, one hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 283 376 470 566 752 940 1132 1415 1504 1880 2264 2830 3760 4528 5660 7520 9056 11320 13301 22640 26602 45280 53204 66505 106408 133010 212816 266020 425632 532040 1064080 2128160