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642200 = 235213219
BaseRepresentation
bin10011100110010011000
31012121221012
42130302120
5131022300
621433052
75313206
oct2346230
91177835
10642200
113a9549
1226b788
13196400
1412a076
15ca435
hex9cc98

642200 has 72 divisors (see below), whose sum is σ = 1701900. Its totient is φ = 224640.

The previous prime is 642199. The next prime is 642211. The reversal of 642200 is 2246.

642200 = T55 + T56 + ... + T158.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33791 + ... + 33809.

2642200 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 642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850950).

642200 is an abundant number, since it is smaller than the sum of its proper divisors (1059700).

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

642200 is a wasteful number, since it uses less digits than its factorization.

642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 642200 is about 801.3738203860. The cubic root of 642200 is about 86.2760195949.

Adding to 642200 its reverse (2246), we get a palindrome (644446).

The spelling of 642200 in words is "six hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 169 190 200 247 260 325 338 380 475 494 520 650 676 760 845 950 988 1235 1300 1352 1690 1900 1976 2470 2600 3211 3380 3800 4225 4940 6175 6422 6760 8450 9880 12350 12844 16055 16900 24700 25688 32110 33800 49400 64220 80275 128440 160550 321100 642200