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2280320 = 2757509
BaseRepresentation
bin1000101100101110000000
311021212000022
420230232000
51040432240
6120513012
725245110
oct10545600
94255008
102280320
111318269
1291b768
1361ac03
14435040
153009b5
hex22cb80

2280320 has 64 divisors (see below), whose sum is σ = 6242400. Its totient is φ = 780288.

The previous prime is 2280319. The next prime is 2280331. The reversal of 2280320 is 230822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4226 + ... + 4734.

22280320 is an apocalyptic number.

2280320 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 2280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121200).

2280320 is an abundant number, since it is smaller than the sum of its proper divisors (3962080).

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

2280320 is an equidigital number, since it uses as much as digits as its factorization.

2280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2280320 is about 1510.0728459250. The cubic root of 2280320 is about 131.6230445320.

The spelling of 2280320 in words is "two million, two hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 509 560 640 896 1018 1120 2036 2240 2545 3563 4072 4480 5090 7126 8144 10180 14252 16288 17815 20360 28504 32576 35630 40720 57008 65152 71260 81440 114016 142520 162880 228032 285040 325760 456064 570080 1140160 2280320