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689616 = 24324789
BaseRepresentation
bin10101000010111010000
31022000222100
42220113100
5134031431
622440400
75601354
oct2502720
91260870
10689616
11431134
12293100
131b1b75
1413d464
15d94e6
hexa85d0

689616 has 30 divisors (see below), whose sum is σ = 1930370. Its totient is φ = 229824.

The previous prime is 689603. The next prime is 689621. The reversal of 689616 is 616986.

689616 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 254016 = 660^2 + 504^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

689616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2251 + ... + 2538.

2689616 is an apocalyptic number.

It is an amenable number.

689616 is an abundant number, since it is smaller than the sum of its proper divisors (1240754).

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

689616 is a wasteful number, since it uses less digits than its factorization.

689616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803 (or 4794 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 689616 is about 830.4312132862. The cubic root of 689616 is about 88.3491637306.

It can be divided in two parts, 689 and 616, that multiplied together give a palindrome (424424).

The spelling of 689616 in words is "six hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4789 9578 14367 19156 28734 38312 43101 57468 76624 86202 114936 172404 229872 344808 689616