Search a number
-
+
1689688 = 2371113211
BaseRepresentation
bin110011100100001011000
310011211211001
412130201120
5413032223
6100114344
720235130
oct6344130
93154731
101689688
11a54540
126959b4
13472120
1431dac0
152359ad
hex19c858

1689688 has 64 divisors (see below), whose sum is σ = 4273920. Its totient is φ = 604800.

The previous prime is 1689661. The next prime is 1689703. The reversal of 1689688 is 8869861.

1689688 is nontrivially palindromic in base 3.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7903 + ... + 8113.

It is an arithmetic number, because the mean of its divisors is an integer number (66780).

21689688 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 1689688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136960).

1689688 is an abundant number, since it is smaller than the sum of its proper divisors (2584232).

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

1689688 is a wasteful number, since it uses less digits than its factorization.

1689688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The square root of 1689688 is about 1299.8799944610. The cubic root of 1689688 is about 119.1065119859.

The spelling of 1689688 in words is "one million, six hundred eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 211 286 308 364 422 572 616 728 844 1001 1144 1477 1688 2002 2321 2743 2954 4004 4642 5486 5908 8008 9284 10972 11816 16247 18568 19201 21944 30173 32494 38402 60346 64988 76804 120692 129976 153608 211211 241384 422422 844844 1689688