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1668080 = 24529719
BaseRepresentation
bin110010111001111110000
310010202011202
412113033300
5411334310
655430332
720115131
oct6271760
93122152
101668080
11a3a287
126853a8
1346533b
14315c88
1522e3a5
hex1973f0

1668080 has 40 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 643328.

The previous prime is 1668061. The next prime is 1668083. The reversal of 1668080 is 808661.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668083) 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, 1961 + ... + 2679.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

21668080 is an apocalyptic number.

1668080 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 1668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800).

1668080 is an abundant number, since it is smaller than the sum of its proper divisors (2349520).

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

1668080 is a wasteful number, since it uses less digits than its factorization.

1668080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1668080 is about 1291.5417143863. The cubic root of 1668080 is about 118.5966145200.

Subtracting from 1668080 its sum of digits (29), we obtain a triangular number (1668051 = T1826).

The spelling of 1668080 in words is "one million, six hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 719 1160 1438 2320 2876 3595 5752 7190 11504 14380 20851 28760 41702 57520 83404 104255 166808 208510 333616 417020 834040 1668080