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2775240 = 2332513593
BaseRepresentation
bin1010100101100011001000
312012222220200
422211203020
51202301430
6135252200
732406036
oct12454310
95188820
102775240
111626096
12b1a060
13762270
14523556
1539c460
hex2a58c8

2775240 has 96 divisors (see below), whose sum is σ = 9729720. Its totient is φ = 681984.

The previous prime is 2775221. The next prime is 2775247. The reversal of 2775240 is 425772.

It can be written as a sum of positive squares in 4 ways, for example, as 1887876 + 887364 = 1374^2 + 942^2 .

It is not an unprimeable number, because it can be changed into a prime (2775247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4384 + ... + 4976.

22775240 is an apocalyptic number.

2775240 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 2775240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864860).

2775240 is an abundant number, since it is smaller than the sum of its proper divisors (6954480).

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

2775240 is a wasteful number, since it uses less digits than its factorization.

2775240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2775240 is about 1665.9051593653. The cubic root of 2775240 is about 140.5292889468.

The spelling of 2775240 in words is "two million, seven hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 593 780 936 1170 1186 1560 1779 2340 2372 2965 3558 4680 4744 5337 5930 7116 7709 8895 10674 11860 14232 15418 17790 21348 23127 23720 26685 30836 35580 38545 42696 46254 53370 61672 69381 71160 77090 92508 106740 115635 138762 154180 185016 213480 231270 277524 308360 346905 462540 555048 693810 925080 1387620 2775240