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1673680 = 24520921
BaseRepresentation
bin110011000100111010000
310011000212011
412120213100
5412024210
655512304
720140351
oct6304720
93130764
101673680
11a43508
12688694
13467a58
14317d28
15230d8a
hex1989d0

1673680 has 20 divisors (see below), whose sum is σ = 3891492. Its totient is φ = 669440.

The previous prime is 1673669. The next prime is 1673681. The reversal of 1673680 is 863761.

It can be written as a sum of positive squares in 2 ways, for example, as 906304 + 767376 = 952^2 + 876^2 .

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 (1673681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10381 + ... + 10540.

21673680 is an apocalyptic number.

1673680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1673680 is an abundant number, since it is smaller than the sum of its proper divisors (2217812).

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

1673680 is a wasteful number, since it uses less digits than its factorization.

1673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20934 (or 20928 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1673680 is about 1293.7078495549. The cubic root of 1673680 is about 118.7291819462.

It can be divided in two parts, 16 and 73680, that multiplied together give a triangular number (1178880 = T1535).

The spelling of 1673680 in words is "one million, six hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 20921 41842 83684 104605 167368 209210 334736 418420 836840 1673680