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2831280 = 243547251
BaseRepresentation
bin1010110011001110110000
312022211210020
422303032300
51211100110
6140403440
733031314
oct12631660
95284706
102831280
111664201
12b46580
1378191a
14539b44
153add70
hex2b33b0

2831280 has 80 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 736000.

The previous prime is 2831273. The next prime is 2831293. The reversal of 2831280 is 821382.

2831280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×28312802 = 16032292876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2831280.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11155 + ... + 11405.

22831280 is an apocalyptic number.

2831280 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 2831280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

2831280 is an abundant number, since it is smaller than the sum of its proper divisors (6168144).

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

2831280 is a wasteful number, since it uses less digits than its factorization.

2831280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2831280 is about 1682.6407816287. The cubic root of 2831280 is about 141.4688881809.

The spelling of 2831280 in words is "two million, eight hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 251 282 376 470 502 564 705 752 753 940 1004 1128 1255 1410 1506 1880 2008 2256 2510 2820 3012 3760 3765 4016 5020 5640 6024 7530 10040 11280 11797 12048 15060 20080 23594 30120 35391 47188 58985 60240 70782 94376 117970 141564 176955 188752 235940 283128 353910 471880 566256 707820 943760 1415640 2831280