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81280000 = 21054127
BaseRepresentation
bin1001101100000…
…11110000000000
312122221110012101
410312003300000
5131301430000
612022040144
72004603634
oct466036000
9178843171
1081280000
114197595a
1223279054
1313abab99
14ab1adc4
157207e6a
hex4d83c00

81280000 has 110 divisors (see below), whose sum is σ = 204634496. Its totient is φ = 32256000.

The previous prime is 81279983. The next prime is 81280037. The reversal of 81280000 is 8218.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 81280000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639937 + ... + 640063.

Almost surely, 281280000 is an apocalyptic number.

81280000 is a gapful number since it is divisible by the number (80) 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 81280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102317248).

81280000 is an abundant number, since it is smaller than the sum of its proper divisors (123354496).

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

81280000 is an equidigital number, since it uses as much as digits as its factorization.

81280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 81280000 is about 9015.5421356677. The cubic root of 81280000 is about 433.1728531328.

Adding to 81280000 its reverse (8218), we get a palindrome (81288218).

It can be divided in two parts, 8 and 1280000, that multiplied together give a square (10240000 = 32002).

The spelling of 81280000 in words is "eighty-one million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 128 160 200 250 254 256 320 400 500 508 512 625 635 640 800 1000 1016 1024 1250 1270 1280 1600 2000 2032 2500 2540 2560 3175 3200 4000 4064 5000 5080 5120 6350 6400 8000 8128 10000 10160 12700 12800 15875 16000 16256 20000 20320 25400 25600 31750 32000 32512 40000 40640 50800 63500 64000 65024 79375 80000 81280 101600 127000 128000 130048 158750 160000 162560 203200 254000 317500 320000 325120 406400 508000 635000 640000 650240 812800 1016000 1270000 1625600 2032000 2540000 3251200 4064000 5080000 8128000 10160000 16256000 20320000 40640000 81280000