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204260000 = 255471459
BaseRepresentation
bin11000010110011…
…00001010100000
3112020100111001012
430023030022200
5404242310000
632134000052
75030116130
oct1413141240
9466314035
10204260000
11a533261a
12584a6028
1333419309
141d1b0ac0
1512deb735
hexc2cc2a0

204260000 has 120 divisors (see below), whose sum is σ = 574691040. Its totient is φ = 69984000.

The previous prime is 204259999. The next prime is 204260003. The reversal of 204260000 is 62402.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (204260003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139271 + ... + 140729.

It is an arithmetic number, because the mean of its divisors is an integer number (4789092).

Almost surely, 2204260000 is an apocalyptic number.

204260000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287345520).

204260000 is an abundant number, since it is smaller than the sum of its proper divisors (370431040).

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

204260000 is an equidigital number, since it uses as much as digits as its factorization.

204260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1473 counting only the distinct ones).

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

The square root of 204260000 is about 14291.9557793886. The cubic root of 204260000 is about 588.9265168525.

The spelling of 204260000 in words is "two hundred four million, two hundred sixty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1459 1750 2000 2500 2800 2918 3500 4000 4375 5000 5600 5836 7000 7295 8750 10000 10213 11672 14000 14590 17500 20000 20426 23344 28000 29180 35000 36475 40852 46688 51065 58360 70000 72950 81704 102130 116720 140000 145900 163408 182375 204260 233440 255325 291800 326816 364750 408520 510650 583600 729500 817040 911875 1021300 1167200 1276625 1459000 1634080 1823750 2042600 2553250 2918000 3647500 4085200 5106500 5836000 6383125 7295000 8170400 10213000 12766250 14590000 20426000 25532500 29180000 40852000 51065000 102130000 204260000