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1081728 = 2733313
BaseRepresentation
bin100001000000110000000
32000221212000
410020012000
5234103403
635104000
712123504
oct4100600
92027760
101081728
1167979a
12442000
132bb49b
14202304
151657a3
hex108180

1081728 has 64 divisors (see below), whose sum is σ = 3202800. Its totient is φ = 359424.

The previous prime is 1081723. The next prime is 1081733. The reversal of 1081728 is 8271801.

It is an interprime number because it is at equal distance from previous prime (1081723) and next prime (1081733).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081721) 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, 3300 + ... + 3612.

21081728 is an apocalyptic number.

1081728 is a gapful number since it is divisible by the number (18) 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 1081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601400).

1081728 is an abundant number, since it is smaller than the sum of its proper divisors (2121072).

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

1081728 is an equidigital number, since it uses as much as digits as its factorization.

1081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1081728 is about 1040.0615366410. The cubic root of 1081728 is about 102.6532468732.

It can be divided in two parts, 108 and 1728, that multiplied together give a square (186624 = 4322).

The spelling of 1081728 in words is "one million, eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 313 384 432 576 626 864 939 1152 1252 1728 1878 2504 2817 3456 3756 5008 5634 7512 8451 10016 11268 15024 16902 20032 22536 30048 33804 40064 45072 60096 67608 90144 120192 135216 180288 270432 360576 540864 1081728