Search a number
-
+
2000320 = 26571947
BaseRepresentation
bin111101000010111000000
310202121220221
413220113000
51003002240
6110512424
723000560
oct7502700
93677827
102000320
111146963
12805714
1355062a
143a0da0
15297a4a
hex1e85c0

2000320 has 112 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 635904.

The previous prime is 2000309. The next prime is 2000321. The reversal of 2000320 is 230002.

2000320 = T19 + T20 + ... + T228.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42537 + ... + 42583.

22000320 is an apocalyptic number.

2000320 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 2000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

2000320 is an abundant number, since it is smaller than the sum of its proper divisors (3851840).

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

2000320 is a wasteful number, since it uses less digits than its factorization.

2000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 2000320 is about 1414.3266949330. The cubic root of 2000320 is about 125.9988242101.

Adding to 2000320 its reverse (230002), we get a palindrome (2230322).

It can be divided in two parts, 2000 and 320, that multiplied together give a square (640000 = 8002).

The spelling of 2000320 in words is "two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 47 56 64 70 76 80 94 95 112 133 140 152 160 188 190 224 235 266 280 304 320 329 376 380 448 470 532 560 608 658 665 752 760 893 940 1064 1120 1216 1316 1330 1504 1520 1645 1786 1880 2128 2240 2632 2660 3008 3040 3290 3572 3760 4256 4465 5264 5320 6080 6251 6580 7144 7520 8512 8930 10528 10640 12502 13160 14288 15040 17860 21056 21280 25004 26320 28576 31255 35720 42560 50008 52640 57152 62510 71440 100016 105280 125020 142880 200032 250040 285760 400064 500080 1000160 2000320