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1683132 = 2231141311
BaseRepresentation
bin110011010111010111100
310011111211020
412122322330
5412330012
6100024140
720210043
oct6327274
93144736
101683132
11a4a620
12692050
1346c149
1431b55a
15233a8c
hex19aebc

1683132 has 48 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 496000.

The previous prime is 1683113. The next prime is 1683169. The reversal of 1683132 is 2313861.

It is a d-powerful number, because it can be written as 1 + 68 + 8 + 36 + 1 + 36 + 211 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5257 + ... + 5567.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

21683132 is an apocalyptic number.

1683132 is a gapful number since it is divisible by the number (12) 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 1683132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

1683132 is an abundant number, since it is smaller than the sum of its proper divisors (2719812).

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

1683132 is a wasteful number, since it uses less digits than its factorization.

1683132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1683132 is about 1297.3557723308. The cubic root of 1683132 is about 118.9522676536.

Adding to 1683132 its reverse (2313861), we get a palindrome (3996993).

The spelling of 1683132 in words is "one million, six hundred eighty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 311 451 492 622 902 933 1244 1353 1804 1866 2706 3421 3732 5412 6842 10263 12751 13684 20526 25502 38253 41052 51004 76506 140261 153012 280522 420783 561044 841566 1683132