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2861280 = 253251987
BaseRepresentation
bin1010111010100011100000
312101100221100
422322203200
51213030110
6141154400
733214632
oct12724340
95340840
102861280
1116847a4
12b5ba00
13792486
14546a52
153b7bc0
hex2ba8e0

2861280 has 72 divisors (see below), whose sum is σ = 9769032. Its totient is φ = 762624.

The previous prime is 2861279. The next prime is 2861291. The reversal of 2861280 is 821682.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447 + ... + 2433.

It is an arithmetic number, because the mean of its divisors is an integer number (135681).

22861280 is an apocalyptic number.

2861280 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 2861280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884516).

2861280 is an abundant number, since it is smaller than the sum of its proper divisors (6907752).

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

2861280 is a wasteful number, since it uses less digits than its factorization.

2861280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2861280 is about 1691.5318501288. The cubic root of 2861280 is about 141.9667977653.

The spelling of 2861280 in words is "two million, eight hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1987 3974 5961 7948 9935 11922 15896 17883 19870 23844 29805 31792 35766 39740 47688 59610 63584 71532 79480 89415 95376 119220 143064 158960 178830 190752 238440 286128 317920 357660 476880 572256 715320 953760 1430640 2861280