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2670480 = 243253709
BaseRepresentation
bin1010001011111110010000
312000200012200
422023332100
51140423410
6133123200
731461441
oct12137620
95020180
102670480
11156440a
12a89500
13726687
144d72c8
1537b3c0
hex28bf90

2670480 has 60 divisors (see below), whose sum is σ = 8970780. Its totient is φ = 711936.

The previous prime is 2670467. The next prime is 2670491. The reversal of 2670480 is 840762.

2670480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 1838736 = 912^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1135 + ... + 2574.

It is an arithmetic number, because the mean of its divisors is an integer number (149513).

22670480 is an apocalyptic number.

2670480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2670480 is an abundant number, since it is smaller than the sum of its proper divisors (6300300).

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

2670480 is a wasteful number, since it uses less digits than its factorization.

2670480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2670480 is about 1634.1603348509. The cubic root of 2670480 is about 138.7383238287.

The spelling of 2670480 in words is "two million, six hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3709 7418 11127 14836 18545 22254 29672 33381 37090 44508 55635 59344 66762 74180 89016 111270 133524 148360 166905 178032 222540 267048 296720 333810 445080 534096 667620 890160 1335240 2670480