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689148 = 2235709
BaseRepresentation
bin10101000001111111100
31022000100000
42220033330
5134023043
622434300
75600115
oct2501774
91260300
10689148
11430849
12292990
131b18a5
1413d20c
15d92d3
hexa83fc

689148 has 36 divisors (see below), whose sum is σ = 1809080. Its totient is φ = 229392.

The previous prime is 689141. The next prime is 689167. The reversal of 689148 is 841986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618 + ... + 1326.

2689148 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 689148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904540).

689148 is an abundant number, since it is smaller than the sum of its proper divisors (1119932).

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

689148 is a wasteful number, since it uses less digits than its factorization.

689148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 714 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 689148 is about 830.1493841472. The cubic root of 689148 is about 88.3291734919.

It can be divided in two parts, 68 and 9148, that added together give a square (9216 = 962).

The spelling of 689148 in words is "six hundred eighty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 709 972 1418 2127 2836 4254 6381 8508 12762 19143 25524 38286 57429 76572 114858 172287 229716 344574 689148