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642690 = 232537193
BaseRepresentation
bin10011100111010000010
31012122121100
42130322002
5131031230
621435230
75314506
oct2347202
91178540
10642690
113a9954
1226bb16
131966b9
1412a306
15ca660
hex9ce82

642690 has 48 divisors (see below), whose sum is σ = 1725048. Its totient is φ = 165888.

The previous prime is 642683. The next prime is 642701. The reversal of 642690 is 96246.

It can be written as a sum of positive squares in 4 ways, for example, as 558009 + 84681 = 747^2 + 291^2 .

It is a super-2 number, since 2×6426902 = 826100872200, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an unprimeable number.

642690 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, 3234 + ... + 3426.

2642690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862524).

642690 is an abundant number, since it is smaller than the sum of its proper divisors (1082358).

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

642690 is a wasteful number, since it uses less digits than its factorization.

642690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 240 counting only the distinct ones).

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

The square root of 642690 is about 801.6794870770. The cubic root of 642690 is about 86.2979569468.

The spelling of 642690 in words is "six hundred forty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 193 222 333 370 386 555 579 666 965 1110 1158 1665 1737 1930 2895 3330 3474 5790 7141 8685 14282 17370 21423 35705 42846 64269 71410 107115 128538 214230 321345 642690