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1681974 = 232721907
BaseRepresentation
bin110011010101000110110
310011110020100
412122220312
5412310344
6100014530
720203500
oct6325066
93143210
101681974
11a49768
12691446
1346b768
1431ad70
15233569
hex19aa36

1681974 has 36 divisors (see below), whose sum is σ = 4241484. Its totient is φ = 480312.

The previous prime is 1681973. The next prime is 1681991. The reversal of 1681974 is 4791861.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681973) 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 17 ways as a sum of consecutive naturals, for example, 72 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (117819).

21681974 is an apocalyptic number.

1681974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120742).

1681974 is an abundant number, since it is smaller than the sum of its proper divisors (2559510).

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

1681974 is a wasteful number, since it uses less digits than its factorization.

1681974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1919 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1681974 is about 1296.9094031581. The cubic root of 1681974 is about 118.9249815528.

Subtracting from 1681974 its product of digits (12096), we obtain a triangular number (1669878 = T1827).

The spelling of 1681974 in words is "one million, six hundred eighty-one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1907 3814 5721 11442 13349 17163 26698 34326 40047 80094 93443 120141 186886 240282 280329 560658 840987 1681974