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2028160 = 2753169
BaseRepresentation
bin111101111001010000000
310211001010001
413233022000
51004400120
6111245344
723145001
oct7571200
93731101
102028160
111165872
12819854
135601c4
143ab1a8
152a0e0a
hex1ef280

2028160 has 32 divisors (see below), whose sum is σ = 4850100. Its totient is φ = 811008.

The previous prime is 2028139. The next prime is 2028179. The reversal of 2028160 is 618202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 23104 = 1416^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×20281602 = 8226865971200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 945 + ... + 2224.

22028160 is an apocalyptic number.

2028160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028160 is an abundant number, since it is smaller than the sum of its proper divisors (2821940).

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

2028160 is an equidigital number, since it uses as much as digits as its factorization.

2028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2028160 is about 1424.1348250780. The cubic root of 2028160 is about 126.5806741670.

The spelling of 2028160 in words is "two million, twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3169 6338 12676 15845 25352 31690 50704 63380 101408 126760 202816 253520 405632 507040 1014080 2028160