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1681360 = 24521017
BaseRepresentation
bin110011010011111010000
310011102101121
412122133100
5412300420
6100012024
720201632
oct6323720
93142347
101681360
11a4925a
12691014
1346b3b5
1431aa52
152332aa
hex19a7d0

1681360 has 20 divisors (see below), whose sum is σ = 3909348. Its totient is φ = 672512.

The previous prime is 1681349. The next prime is 1681363. The reversal of 1681360 is 631861.

It can be written as a sum of positive squares in 2 ways, for example, as 183184 + 1498176 = 428^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10429 + ... + 10588.

21681360 is an apocalyptic number.

1681360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681360 is an abundant number, since it is smaller than the sum of its proper divisors (2227988).

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

1681360 is a wasteful number, since it uses less digits than its factorization.

1681360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21030 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1681360 is about 1296.6726649390. The cubic root of 1681360 is about 118.9105087121.

The spelling of 1681360 in words is "one million, six hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 21017 42034 84068 105085 168136 210170 336272 420340 840680 1681360