Search a number
-
+
2063441000 = 235343471021
BaseRepresentation
bin111101011111101…
…1001110001101000
312022210201122220202
41322333121301220
513211220103000
6540430411332
7102063646655
oct17277316150
95283648822
102063441000
11969838845
12497060b48
1326b65a60a
14158090c2c
15c1244dd5
hex7afd9c68

2063441000 has 128 divisors (see below), whose sum is σ = 5050805760. Its totient is φ = 788256000.

The previous prime is 2063440999. The next prime is 2063441027. The reversal of 2063441000 is 1443602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2020490 + ... + 2021510.

It is an arithmetic number, because the mean of its divisors is an integer number (39459420).

Almost surely, 22063441000 is an apocalyptic number.

2063441000 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 2063441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525402880).

2063441000 is an abundant number, since it is smaller than the sum of its proper divisors (2987364760).

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

2063441000 is a wasteful number, since it uses less digits than its factorization.

2063441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2063441000 is about 45425.1141990860. The cubic root of 2063441000 is about 1273.1043982913.

Adding to 2063441000 its reverse (1443602), we get a palindrome (2064884602).

The spelling of 2063441000 in words is "two billion, sixty-three million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 47 50 86 94 100 125 172 188 200 215 235 250 344 376 430 470 500 860 940 1000 1021 1075 1175 1720 1880 2021 2042 2150 2350 4042 4084 4300 4700 5105 5375 5875 8084 8168 8600 9400 10105 10210 10750 11750 16168 20210 20420 21500 23500 25525 40420 40840 43000 43903 47000 47987 50525 51050 80840 87806 95974 101050 102100 127625 175612 191948 202100 204200 219515 239935 252625 255250 351224 383896 404200 439030 479870 505250 510500 878060 959740 1010500 1021000 1097575 1199675 1756120 1919480 2021000 2063441 2195150 2399350 4126882 4390300 4798700 5487875 5998375 8253764 8780600 9597400 10317205 10975750 11996750 16507528 20634410 21951500 23993500 41268820 43903000 47987000 51586025 82537640 103172050 206344100 257930125 412688200 515860250 1031720500 2063441000