Search a number
-
+
689742 = 23353241
BaseRepresentation
bin10101000011001001110
31022001011000
42220121032
5134032432
622441130
75601624
oct2503116
91261130
10689742
11431239
122931a6
131b1c41
1413d514
15d957c
hexa864e

689742 has 32 divisors (see below), whose sum is σ = 1568160. Its totient is φ = 224640.

The previous prime is 689723. The next prime is 689761. The reversal of 689742 is 247986.

It is an interprime number because it is at equal distance from previous prime (689723) and next prime (689761).

It is a junction number, because it is equal to n+sod(n) for n = 689697 and 689706.

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, 2742 + ... + 2982.

It is an arithmetic number, because the mean of its divisors is an integer number (49005).

2689742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784080).

689742 is an abundant number, since it is smaller than the sum of its proper divisors (878418).

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

689742 is a wasteful number, since it uses less digits than its factorization.

689742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 689742 is about 830.5070740216. The cubic root of 689742 is about 88.3545441726.

It can be divided in two parts, 689 and 742, that added together give a triangular number (1431 = T53).

The spelling of 689742 in words is "six hundred eighty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 241 318 477 482 723 954 1431 1446 2169 2862 4338 6507 12773 13014 25546 38319 76638 114957 229914 344871 689742