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1081600 = 2852132
BaseRepresentation
bin100001000000100000000
32000221200021
410020010000
5234102400
635103224
712123232
oct4100400
92027607
101081600
11679693
12441b14
132bb400
14202252
1516571a
hex108100

1081600 has 81 divisors (see below), whose sum is σ = 2898903. Its totient is φ = 399360.

The previous prime is 1081583. The next prime is 1081631. The reversal of 1081600 is 61801.

The square root of 1081600 is 1040.

It is a perfect power (a square), and thus also a powerful number.

1081600 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 802816 = 528^2 + 896^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83194 + ... + 83206.

21081600 is an apocalyptic number.

1081600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1081600 is the 1040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081600

1081600 is an abundant number, since it is smaller than the sum of its proper divisors (1817303).

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

1081600 is an equidigital number, since it uses as much as digits as its factorization.

1081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The cubic root of 1081600 is about 102.6491977549.

Multiplying 1081600 by its sum of digits (16), we get a square (17305600 = 41602).

1081600 divided by its sum of digits (16) gives a square (67600 = 2602).

It can be divided in two parts, 1081 and 600, that added together give a square (1681 = 412).

The spelling of 1081600 in words is "one million, eighty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 169 200 208 256 260 320 325 338 400 416 520 640 650 676 800 832 845 1040 1280 1300 1352 1600 1664 1690 2080 2600 2704 3200 3328 3380 4160 4225 5200 5408 6400 6760 8320 8450 10400 10816 13520 16640 16900 20800 21632 27040 33800 41600 43264 54080 67600 83200 108160 135200 216320 270400 540800 1081600