Search a number
-
+
2043124020 = 223357540509
BaseRepresentation
bin111100111000111…
…1001100100110100
312021101111110021000
41321301321210310
513141014432040
6534423123300
7101426160540
oct17161714464
95241443230
102043124020
11959321353
124902a3530
13267395b32
141554c2a20
15be580130
hex79c79934

2043124020 has 96 divisors (see below), whose sum is σ = 7264454400. Its totient is φ = 466998912.

The previous prime is 2043124007. The next prime is 2043124033. The reversal of 2043124020 is 204213402.

It is an interprime number because it is at equal distance from previous prime (2043124007) and next prime (2043124033).

It is a super-2 number, since 2×20431240202 = 8348711522201920800, which contains 22 as substring.

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 = 2043123984 and 2043124002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266475 + ... + 274034.

It is an arithmetic number, because the mean of its divisors is an integer number (75671400).

Almost surely, 22043124020 is an apocalyptic number.

2043124020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2043124020 is an abundant number, since it is smaller than the sum of its proper divisors (5221330380).

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

2043124020 is a wasteful number, since it uses less digits than its factorization.

2043124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540534 (or 540526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2043124020 is about 45200.9294152233. The cubic root of 2043124020 is about 1268.9122105044.

Adding to 2043124020 its reverse (204213402), we get a palindrome (2247337422).

The spelling of 2043124020 in words is "two billion, forty-three million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 540509 1081018 1621527 2162036 2702545 3243054 3783563 4864581 5405090 6486108 7567126 8107635 9729162 10810180 11350689 14593743 15134252 16215270 18917815 19458324 22701378 24322905 29187486 32430540 34052067 37835630 45402756 48645810 56753445 58374972 68104134 72968715 75671260 97291620 102156201 113506890 136208268 145937430 170260335 204312402 227013780 291874860 340520670 408624804 510781005 681041340 1021562010 2043124020