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1685840 = 245131621
BaseRepresentation
bin110011011100101010000
310011122112112
412123211100
5412421330
6100044452
720220662
oct6334520
93148475
101685840
11a51662
12693728
13470450
1431c532
15234795
hex19b950

1685840 has 40 divisors (see below), whose sum is σ = 4223688. Its totient is φ = 622080.

The previous prime is 1685837. The next prime is 1685861. The reversal of 1685840 is 485861.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 1567504 = 344^2 + 1252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1685797 and 1685806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 1850.

21685840 is an apocalyptic number.

1685840 is a gapful number since it is divisible by the number (10) 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 1685840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111844).

1685840 is an abundant number, since it is smaller than the sum of its proper divisors (2537848).

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

1685840 is a wasteful number, since it uses less digits than its factorization.

1685840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1685840 is about 1298.3990141709. The cubic root of 1685840 is about 119.0160277826.

The spelling of 1685840 in words is "one million, six hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1621 3242 6484 8105 12968 16210 21073 25936 32420 42146 64840 84292 105365 129680 168584 210730 337168 421460 842920 1685840