Search a number
-
+
1042240122 = 23571127851
BaseRepresentation
bin111110000111110…
…101001001111010
32200122011021200000
4332013311021322
54113303140442
6251230453430
734553615640
oct7607651172
92618137600
101042240122
11495354480
12251064276
13137c09541
149c5c5190
1561776d4c
hex3e1f527a

1042240122 has 96 divisors (see below), whose sum is σ = 2919780864. Its totient is φ = 270702000.

The previous prime is 1042240081. The next prime is 1042240139. The reversal of 1042240122 is 2210422401.

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 = 1042240095 and 1042240104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23497 + ... + 51347.

It is an arithmetic number, because the mean of its divisors is an integer number (30414384).

Almost surely, 21042240122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042240122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459890432).

1042240122 is an abundant number, since it is smaller than the sum of its proper divisors (1877540742).

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

1042240122 is a wasteful number, since it uses less digits than its factorization.

1042240122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27886 (or 27874 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1042240122 is about 32283.7439278656. The cubic root of 1042240122 is about 1013.8863182662.

Adding to 1042240122 its reverse (2210422401), we get a palindrome (3252662523).

The spelling of 1042240122 in words is "one billion, forty-two million, two hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 12474 18711 27851 37422 55702 83553 167106 194957 250659 306361 389914 501318 584871 612722 751977 919083 1169742 1503954 1754613 1838166 2144527 2255931 2757249 3509226 4289054 4511862 5263839 5514498 6433581 6767793 8271747 10527678 12867162 13535586 15791517 16543494 19300743 24815241 31583034 38601486 47374551 49630482 57902229 74445723 94749102 115804458 148891446 173706687 347413374 521120061 1042240122