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2185728 = 2931423
BaseRepresentation
bin1000010101101000000000
311010001020220
420111220000
51024420403
6114503040
724402246
oct10255000
94101226
102185728
111263196
12894a80
135b6b3c
1440c796
152d2953
hex215a00

2185728 has 40 divisors (see below), whose sum is σ = 5827008. Its totient is φ = 728064.

The previous prime is 2185727. The next prime is 2185739. The reversal of 2185728 is 8275812.

It is not an unprimeable number, because it can be changed into a prime (2185723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 825 + ... + 2247.

22185728 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 2185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913504).

2185728 is an abundant number, since it is smaller than the sum of its proper divisors (3641280).

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

2185728 is an equidigital number, since it uses as much as digits as its factorization.

2185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1428 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 2185728 is about 1478.4207790748. The cubic root of 2185728 is about 129.7772912696. Note that the first 3 decimals are identical.

The spelling of 2185728 in words is "two million, one hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1423 1536 2846 4269 5692 8538 11384 17076 22768 34152 45536 68304 91072 136608 182144 273216 364288 546432 728576 1092864 2185728