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1728096 = 25347383
BaseRepresentation
bin110100101111001100000
310020210111120
412211321200
5420244341
6101012240
720455116
oct6457140
93223446
101728096
11a80387
126b4080
13486756
1432dab6
15242066
hex1a5e60

1728096 has 48 divisors (see below), whose sum is σ = 4644864. Its totient is φ = 562304.

The previous prime is 1728091. The next prime is 1728119. The reversal of 1728096 is 6908271.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728091) 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, 4321 + ... + 4703.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

21728096 is an apocalyptic number.

1728096 is a gapful number since it is divisible by the number (16) 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 1728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432).

1728096 is an abundant number, since it is smaller than the sum of its proper divisors (2916768).

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

1728096 is a wasteful number, since it uses less digits than its factorization.

1728096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1728096 is about 1314.5706523424. The cubic root of 1728096 is about 120.0022221811.

The spelling of 1728096 in words is "one million, seven hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 383 564 752 766 1128 1149 1504 1532 2256 2298 3064 4512 4596 6128 9192 12256 18001 18384 36002 36768 54003 72004 108006 144008 216012 288016 432024 576032 864048 1728096