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1682280 = 233254673
BaseRepresentation
bin110011010101101101000
310011110122200
412122231220
5412313110
6100020200
720204415
oct6325550
93143580
101682280
11a49a16
12691660
1346b942
1431b10c
152336c0
hex19ab68

1682280 has 48 divisors (see below), whose sum is σ = 5468580. Its totient is φ = 448512.

The previous prime is 1682257. The next prime is 1682281. The reversal of 1682280 is 822861.

It can be written as a sum of positive squares in 2 ways, for example, as 1602756 + 79524 = 1266^2 + 282^2 .

It is not an unprimeable number, because it can be changed into a prime (1682281) 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 11 ways as a sum of consecutive naturals, for example, 1977 + ... + 2696.

21682280 is an apocalyptic number.

1682280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682280 is an abundant number, since it is smaller than the sum of its proper divisors (3786300).

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

1682280 is a wasteful number, since it uses less digits than its factorization.

1682280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1682280 is about 1297.0273705670. The cubic root of 1682280 is about 118.9321930868.

The spelling of 1682280 in words is "one million, six hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4673 9346 14019 18692 23365 28038 37384 42057 46730 56076 70095 84114 93460 112152 140190 168228 186920 210285 280380 336456 420570 560760 841140 1682280