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2280960 = 2934511
BaseRepresentation
bin1000101100111000000000
311021212220000
420230320000
51040442320
6120520000
725250013
oct10547000
94255800
102280960
1113187a0
12920000
1361b2a6
1443537a
15300c90
hex22ce00

2280960 has 200 divisors, whose sum is σ = 8912376. Its totient is φ = 552960.

The previous prime is 2280959. The next prime is 2280977. The reversal of 2280960 is 690822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207355 + ... + 207365.

22280960 is an apocalyptic number.

2280960 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 2280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456188).

2280960 is an abundant number, since it is smaller than the sum of its proper divisors (6631416).

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

2280960 is an equidigital number, since it uses as much as digits as its factorization.

2280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2280960 is about 1510.2847413650. The cubic root of 2280960 is about 131.6353572584.

It can be divided in two parts, 2280 and 960, that added together give a triangular number (3240 = T80).

The spelling of 2280960 in words is "two million, two hundred eighty thousand, nine hundred sixty".