Search a number
-
+
2120021040 = 243517598807
BaseRepresentation
bin111111001011100…
…1111010000110000
312110202012020010210
41332113033100300
513320211133130
6550211224120
7103351611234
oct17627172060
95422166123
102120021040
11998773205
124b1ba8040
1327a2aaa27
141617bc5c4
15c61be5b0
hex7e5cf430

2120021040 has 160 divisors (see below), whose sum is σ = 7077404160. Its totient is φ = 523005952.

The previous prime is 2120021003. The next prime is 2120021053. The reversal of 2120021040 is 401200212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 236317 + ... + 245123.

It is an arithmetic number, because the mean of its divisors is an integer number (44233776).

Almost surely, 22120021040 is an apocalyptic number.

2120021040 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 2120021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538702080).

2120021040 is an abundant number, since it is smaller than the sum of its proper divisors (4957383120).

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

2120021040 is a wasteful number, since it uses less digits than its factorization.

2120021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120021040 is about 46043.6862121182. The cubic root of 2120021040 is about 1284.6359074862.

Adding to 2120021040 its reverse (401200212), we get a palindrome (2521221252).

The spelling of 2120021040 in words is "two billion, one hundred twenty million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 59 60 68 80 85 102 118 120 136 170 177 204 236 240 255 272 295 340 354 408 472 510 590 680 708 816 885 944 1003 1020 1180 1360 1416 1770 2006 2040 2360 2832 3009 3540 4012 4080 4720 5015 6018 7080 8024 8807 10030 12036 14160 15045 16048 17614 20060 24072 26421 30090 35228 40120 44035 48144 52842 60180 70456 80240 88070 105684 120360 132105 140912 149719 176140 211368 240720 264210 299438 352280 422736 449157 519613 528420 598876 704560 748595 898314 1039226 1056840 1197752 1497190 1558839 1796628 2078452 2113680 2245785 2395504 2598065 2994380 3117678 3593256 4156904 4491570 5196130 5988760 6235356 7186512 7794195 8313808 8833421 8983140 10392260 11977520 12470712 15588390 17666842 17966280 20784520 24941424 26500263 31176780 35333684 35932560 41569040 44167105 53000526 62353560 70667368 88334210 106001052 124707120 132501315 141334736 176668420 212002104 265002630 353336840 424004208 530005260 706673680 1060010520 2120021040