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1801280 = 26513433
BaseRepresentation
bin110110111110001000000
310101111220002
412313301000
5430120110
6102335132
721211355
oct6676100
93344802
101801280
111020368
1272a4a8
134b0b60
1434c62c
15258aa5
hex1b7c40

1801280 has 56 divisors (see below), whose sum is σ = 4629912. Its totient is φ = 663552.

The previous prime is 1801273. The next prime is 1801297. The reversal of 1801280 is 821081.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 1784896 = 128^2 + 1336^2 .

It is a super-3 number, since 3×18012803 = 17533351348371456000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3944 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (82677).

21801280 is an apocalyptic number.

1801280 is a gapful number since it is divisible by the number (10) 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 1801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314956).

1801280 is an abundant number, since it is smaller than the sum of its proper divisors (2828632).

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

1801280 is a wasteful number, since it uses less digits than its factorization.

1801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1801280 is about 1342.1177295603. The cubic root of 1801280 is about 121.6728672222.

It can be divided in two parts, 180 and 1280, that multiplied together give a square (230400 = 4802).

The spelling of 1801280 in words is "one million, eight hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 433 520 832 866 1040 1732 2080 2165 3464 4160 4330 5629 6928 8660 11258 13856 17320 22516 27712 28145 34640 45032 56290 69280 90064 112580 138560 180128 225160 360256 450320 900640 1801280