Search a number
-
+
689960 = 23547367
BaseRepresentation
bin10101000011100101000
31022001110002
42220130220
5134034320
622442132
75602355
oct2503450
91261402
10689960
11431417
12293348
131b207b
1413d62c
15d9675
hexa8728

689960 has 32 divisors (see below), whose sum is σ = 1589760. Its totient is φ = 269376.

The previous prime is 689959. The next prime is 689963. The reversal of 689960 is 69986.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (689963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1697 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (49680).

2689960 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 689960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794880).

689960 is an abundant number, since it is smaller than the sum of its proper divisors (899800).

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

689960 is a wasteful number, since it uses less digits than its factorization.

689960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 689960 is about 830.6383087722. The cubic root of 689960 is about 88.3638516440.

The spelling of 689960 in words is "six hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 367 376 470 734 940 1468 1835 1880 2936 3670 7340 14680 17249 34498 68996 86245 137992 172490 344980 689960