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2014280 = 235371361
BaseRepresentation
bin111101011110001001000
310210100001222
413223301020
51003424110
6111101212
723056352
oct7536110
93710058
102014280
1111563a4
12811808
13556aa8
143a60d2
1529bc55
hex1ebc48

2014280 has 32 divisors (see below), whose sum is σ = 4658040. Its totient is φ = 783360.

The previous prime is 2014277. The next prime is 2014283. The reversal of 2014280 is 824102.

It is an interprime number because it is at equal distance from previous prime (2014277) and next prime (2014283).

It can be written as a sum of positive squares in 4 ways, for example, as 1684804 + 329476 = 1298^2 + 574^2 .

It is not an unprimeable number, because it can be changed into a prime (2014283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800 + ... + 2160.

22014280 is an apocalyptic number.

2014280 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 2014280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329020).

2014280 is an abundant number, since it is smaller than the sum of its proper divisors (2643760).

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

2014280 is a wasteful number, since it uses less digits than its factorization.

2014280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2014280 is about 1419.2533248156. The cubic root of 2014280 is about 126.2912553472.

Adding to 2014280 its reverse (824102), we get a palindrome (2838382).

The spelling of 2014280 in words is "two million, fourteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1361 1480 2722 5444 6805 10888 13610 27220 50357 54440 100714 201428 251785 402856 503570 1007140 2014280