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2142090 = 232523801
BaseRepresentation
bin1000001010111110001010
311000211101200
420022332022
51022021330
6113525030
724131106
oct10127612
94024350
102142090
111233425
12873776
135a0012
143da906
152c4a60
hex20af8a

2142090 has 24 divisors (see below), whose sum is σ = 5569668. Its totient is φ = 571200.

The previous prime is 2142083. The next prime is 2142097. The reversal of 2142090 is 902412.

It is an interprime number because it is at equal distance from previous prime (2142083) and next prime (2142097).

It can be written as a sum of positive squares in 2 ways, for example, as 2134521 + 7569 = 1461^2 + 87^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2142097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11811 + ... + 11990.

22142090 is an apocalyptic number.

2142090 is an abundant number, since it is smaller than the sum of its proper divisors (3427578).

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

2142090 is a wasteful number, since it uses less digits than its factorization.

2142090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23814 (or 23811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2142090 is about 1463.5880567974. The cubic root of 2142090 is about 128.9078122676.

It can be divided in two parts, 214 and 2090, that added together give a square (2304 = 482).

The spelling of 2142090 in words is "two million, one hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23801 47602 71403 119005 142806 214209 238010 357015 428418 714030 1071045 2142090