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689620 = 22529241
BaseRepresentation
bin10101000010111010100
31022000222111
42220113110
5134031440
622440404
75601361
oct2502724
91260874
10689620
11431138
12293104
131b1b79
1413d468
15d94ea
hexa85d4

689620 has 36 divisors (see below), whose sum is σ = 1536444. Its totient is φ = 259840.

The previous prime is 689603. The next prime is 689621. The reversal of 689620 is 26986.

It can be written as a sum of positive squares in 6 ways, for example, as 71824 + 617796 = 268^2 + 786^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16800 + ... + 16840.

It is an arithmetic number, because the mean of its divisors is an integer number (42679).

2689620 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 689620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768222).

689620 is an abundant number, since it is smaller than the sum of its proper divisors (846824).

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

689620 is a wasteful number, since it uses less digits than its factorization.

689620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 689620 is about 830.4336216700. The cubic root of 689620 is about 88.3493345484.

The spelling of 689620 in words is "six hundred eighty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 841 1189 1682 2378 3364 4205 4756 5945 8410 11890 16820 23780 34481 68962 137924 172405 344810 689620