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1706016 = 253131367
BaseRepresentation
bin110100000100000100000
310012200012210
412200200200
5414043031
6100322120
720333544
oct6404040
93180183
101706016
11a65834
126a3340
134796a0
14325a24
1523a746
hex1a0820

1706016 has 48 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 524544.

The previous prime is 1706009. The next prime is 1706057. The reversal of 1706016 is 6106071.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1705983 and 1706001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565 + ... + 1931.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

21706016 is an apocalyptic number.

1706016 is a gapful number since it is divisible by the number (16) 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 1706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

1706016 is an abundant number, since it is smaller than the sum of its proper divisors (3120288).

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

1706016 is a wasteful number, since it uses less digits than its factorization.

1706016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1706016 is about 1306.1454742868. The cubic root of 1706016 is about 119.4889376617.

The spelling of 1706016 in words is "one million, seven hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1367 2734 4101 5468 8202 10936 16404 17771 21872 32808 35542 43744 53313 65616 71084 106626 131232 142168 213252 284336 426504 568672 853008 1706016