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1685424 = 243133773
BaseRepresentation
bin110011011011110110000
310011121222010
412123132300
5412413144
6100042520
720216526
oct6333660
93147863
101685424
11a51314
12693440
134701c0
1431c316
152345b9
hex19b7b0

1685424 has 80 divisors (see below), whose sum is σ = 4881632. Its totient is φ = 497664.

The previous prime is 1685423. The next prime is 1685429. The reversal of 1685424 is 4245861.

Its product of digits (7680) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1685391 and 1685400.

It is not an unprimeable number, because it can be changed into a prime (1685423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23052 + ... + 23124.

21685424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440816).

1685424 is an abundant number, since it is smaller than the sum of its proper divisors (3196208).

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

1685424 is a wasteful number, since it uses less digits than its factorization.

1685424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 1685424 is about 1298.2388069997. The cubic root of 1685424 is about 119.0062374623.

It can be divided in two parts, 16854 and 24, that multiplied together give a square (404496 = 6362).

The spelling of 1685424 in words is "one million, six hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 73 74 78 104 111 146 148 156 208 219 222 292 296 312 438 444 481 584 592 624 876 888 949 962 1168 1443 1752 1776 1898 1924 2701 2847 2886 3504 3796 3848 5402 5694 5772 7592 7696 8103 10804 11388 11544 15184 16206 21608 22776 23088 32412 35113 43216 45552 64824 70226 105339 129648 140452 210678 280904 421356 561808 842712 1685424