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2142280 = 235721093
BaseRepresentation
bin1000001011000001001000
311000211122201
420023001020
51022023110
6113525544
724131500
oct10130110
94024581
102142280
111233588
128738b4
135a012a
143daa00
152c4b3a
hex20b048

2142280 has 48 divisors (see below), whose sum is σ = 5612220. Its totient is φ = 733824.

The previous prime is 2142271. The next prime is 2142281. The reversal of 2142280 is 822412.

It can be written as a sum of positive squares in 2 ways, for example, as 1999396 + 142884 = 1414^2 + 378^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2142281) 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, 1414 + ... + 2506.

22142280 is an apocalyptic number.

2142280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806110).

2142280 is an abundant number, since it is smaller than the sum of its proper divisors (3469940).

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

2142280 is a wasteful number, since it uses less digits than its factorization.

2142280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2142280 is about 1463.6529643327. The cubic root of 2142280 is about 128.9116234613.

Adding to 2142280 its reverse (822412), we get a palindrome (2964692).

The spelling of 2142280 in words is "two million, one hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1093 1960 2186 4372 5465 7651 8744 10930 15302 21860 30604 38255 43720 53557 61208 76510 107114 153020 214228 267785 306040 428456 535570 1071140 2142280