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801280 = 295313
BaseRepresentation
bin11000011101000000000
31111201011001
43003220000
5201120110
625101344
76545044
oct3035000
91451131
10801280
114a8017
12327854
1322093c
1416c024
1510c63a
hexc3a00

801280 has 40 divisors (see below), whose sum is σ = 1927332. Its totient is φ = 319488.

The previous prime is 801277. The next prime is 801289. The reversal of 801280 is 82108.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 135424 = 816^2 + 368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (801289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2404 + ... + 2716.

2801280 is an apocalyptic number.

801280 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 801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963666).

801280 is an abundant number, since it is smaller than the sum of its proper divisors (1126052).

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

801280 is an equidigital number, since it uses as much as digits as its factorization.

801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

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

The square root of 801280 is about 895.1424467648. The cubic root of 801280 is about 92.8812605711.

Adding to 801280 its reverse (82108), we get a palindrome (883388).

It can be divided in two parts, 801 and 280, that added together give a triangular number (1081 = T46).

The spelling of 801280 in words is "eight hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 313 320 512 626 640 1252 1280 1565 2504 2560 3130 5008 6260 10016 12520 20032 25040 40064 50080 80128 100160 160256 200320 400640 801280