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2740480 = 2852141
BaseRepresentation
bin1010011101000100000000
312011020020021
422131010000
51200143410
6134423224
732202511
oct12350400
95136207
102740480
111601a66
12b01b14
1374c4b2
14514a08
15391eda
hex29d100

2740480 has 36 divisors (see below), whose sum is σ = 6567372. Its totient is φ = 1095680.

The previous prime is 2740477. The next prime is 2740483. The reversal of 2740480 is 840472.

It is an interprime number because it is at equal distance from previous prime (2740477) and next prime (2740483).

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 802816 = 1392^2 + 896^2 .

It is not an unprimeable number, because it can be changed into a prime (2740483) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 210 + ... + 2350.

It is an arithmetic number, because the mean of its divisors is an integer number (182427).

22740480 is an apocalyptic number.

2740480 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 2740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283686).

2740480 is an abundant number, since it is smaller than the sum of its proper divisors (3826892).

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

2740480 is an equidigital number, since it uses as much as digits as its factorization.

2740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2740480 is about 1655.4395186777. The cubic root of 2740480 is about 139.9401104384.

The spelling of 2740480 in words is "two million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2141 4282 8564 10705 17128 21410 34256 42820 68512 85640 137024 171280 274048 342560 548096 685120 1370240 2740480