Search a number
-
+
2743020 = 2232572311
BaseRepresentation
bin1010011101101011101100
312011100201100
422131223230
51200234040
6134443100
732213100
oct12355354
95140640
102743020
111603965
12b03490
137506b7
14515900
15392b30
hex29daec

2743020 has 108 divisors (see below), whose sum is σ = 9710064. Its totient is φ = 624960.

The previous prime is 2743019. The next prime is 2743031. The reversal of 2743020 is 203472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2742984 and 2743002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8665 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (89908).

22743020 is an apocalyptic number.

2743020 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 2743020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855032).

2743020 is an abundant number, since it is smaller than the sum of its proper divisors (6967044).

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

2743020 is a wasteful number, since it uses less digits than its factorization.

2743020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2743020 is about 1656.2065088629. The cubic root of 2743020 is about 139.9833313488.

Adding to 2743020 its reverse (203472), we get a palindrome (2946492).

The spelling of 2743020 in words is "two million, seven hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 311 315 420 441 490 588 622 630 735 882 933 980 1244 1260 1470 1555 1764 1866 2177 2205 2799 2940 3110 3732 4354 4410 4665 5598 6220 6531 8708 8820 9330 10885 11196 13062 13995 15239 18660 19593 21770 26124 27990 30478 32655 39186 43540 45717 55980 60956 65310 76195 78372 91434 97965 130620 137151 152390 182868 195930 228585 274302 304780 391860 457170 548604 685755 914340 1371510 2743020