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2141728 = 251731127
BaseRepresentation
bin1000001010111000100000
311000210220021
420022320200
51022013403
6113523224
724130051
oct10127040
94023807
102141728
111233126
12873514
1359cac4
143da728
152c48bd
hex20ae20

2141728 has 48 divisors (see below), whose sum is σ = 4644864. Its totient is φ = 967680.

The previous prime is 2141723. The next prime is 2141731. The reversal of 2141728 is 8271412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141723) by changing a digit.

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, 16801 + ... + 16927.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

22141728 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 2141728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432).

2141728 is an abundant number, since it is smaller than the sum of its proper divisors (2503136).

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

2141728 is a wasteful number, since it uses less digits than its factorization.

2141728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 2141728 is about 1463.4643828942. The cubic root of 2141728 is about 128.9005503167.

The spelling of 2141728 in words is "two million, one hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 127 136 248 254 272 496 508 527 544 992 1016 1054 2032 2108 2159 3937 4064 4216 4318 7874 8432 8636 15748 16864 17272 31496 34544 62992 66929 69088 125984 133858 267716 535432 1070864 2141728