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690642 = 232173761
BaseRepresentation
bin10101000100111010010
31022002101100
42220213102
5134100032
622445230
75604351
oct2504722
91262340
10690642
11431987
12293816
131b2484
1413d998
15d997c
hexa89d2

690642 has 48 divisors (see below), whose sum is σ = 1653912. Its totient is φ = 207360.

The previous prime is 690629. The next prime is 690661. The reversal of 690642 is 246096.

It can be written as a sum of positive squares in 4 ways, for example, as 622521 + 68121 = 789^2 + 261^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 690642.

It is an unprimeable number.

690642 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 23 ways as a sum of consecutive naturals, for example, 11292 + ... + 11352.

2690642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826956).

690642 is an abundant number, since it is smaller than the sum of its proper divisors (963270).

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

690642 is a wasteful number, since it uses less digits than its factorization.

690642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 690642 is about 831.0487350330. The cubic root of 690642 is about 88.3929568585.

The spelling of 690642 in words is "six hundred ninety thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 61 74 102 111 122 153 183 222 306 333 366 549 629 666 1037 1098 1258 1887 2074 2257 3111 3774 4514 5661 6222 6771 9333 11322 13542 18666 20313 38369 40626 76738 115107 230214 345321 690642