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2280980 = 2251331283
BaseRepresentation
bin1000101100111000010100
311021212220202
420230320110
51040442410
6120520032
725250042
oct10547024
94255822
102280980
111318809
12920018
1361b2c0
14435392
15300ca5
hex22ce14

2280980 has 48 divisors (see below), whose sum is σ = 5343744. Its totient is φ = 812160.

The previous prime is 2280977. The next prime is 2280983. The reversal of 2280980 is 890822.

It is an interprime number because it is at equal distance from previous prime (2280977) and next prime (2280983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7919 + ... + 8201.

It is an arithmetic number, because the mean of its divisors is an integer number (111328).

22280980 is an apocalyptic number.

2280980 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 2280980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671872).

2280980 is an abundant number, since it is smaller than the sum of its proper divisors (3062764).

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

2280980 is a wasteful number, since it uses less digits than its factorization.

2280980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2280980 is about 1510.2913626185. The cubic root of 2280980 is about 131.6357419940.

The spelling of 2280980 in words is "two million, two hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 283 310 403 566 620 806 1132 1415 1612 2015 2830 3679 4030 5660 7358 8060 8773 14716 17546 18395 35092 36790 43865 73580 87730 114049 175460 228098 456196 570245 1140490 2280980