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2141800 = 235210709
BaseRepresentation
bin1000001010111001101000
311000210222221
420022321220
51022014200
6113523424
724130213
oct10127150
94023887
102141800
111233191
12873574
1359cb4b
143da77a
152c491a
hex20ae68

2141800 has 24 divisors (see below), whose sum is σ = 4980150. Its totient is φ = 856640.

The previous prime is 2141791. The next prime is 2141801. The reversal of 2141800 is 81412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2022084 + 119716 = 1422^2 + 346^2 .

It is not an unprimeable number, because it can be changed into a prime (2141801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5155 + ... + 5554.

22141800 is an apocalyptic number.

2141800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141800 is an abundant number, since it is smaller than the sum of its proper divisors (2838350).

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

2141800 is a wasteful number, since it uses less digits than its factorization.

2141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2141800 is about 1463.4889818512. The cubic root of 2141800 is about 128.9019947478.

The spelling of 2141800 in words is "two million, one hundred forty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10709 21418 42836 53545 85672 107090 214180 267725 428360 535450 1070900 2141800