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82001280 = 273542709
BaseRepresentation
bin1001110001100…
…11110110000000
312201022002121110
410320303312000
5131443020110
612045323320
72013666534
oct470636600
9181262543
1082001280
1142318859
1223566540
1313cb128a
14ac67bc4
1572eba20
hex4e33d80

82001280 has 64 divisors (see below), whose sum is σ = 261385200. Its totient is φ = 21866496.

The previous prime is 82001273. The next prime is 82001281. The reversal of 82001280 is 8210028.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82001281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19435 + ... + 23274.

Almost surely, 282001280 is an apocalyptic number.

82001280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82001280 is an abundant number, since it is smaller than the sum of its proper divisors (179383920).

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

82001280 is a wasteful number, since it uses less digits than its factorization.

82001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42731 (or 42719 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 82001280 is about 9055.4558140383. The cubic root of 82001280 is about 434.4504091083.

The spelling of 82001280 in words is "eighty-two million, one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 42709 85418 128127 170836 213545 256254 341672 427090 512508 640635 683344 854180 1025016 1281270 1366688 1708360 2050032 2562540 2733376 3416720 4100064 5125080 5466752 6833440 8200128 10250160 13666880 16400256 20500320 27333760 41000640 82001280