Search a number
-
+
1002424122 = 232731271947
BaseRepresentation
bin111011101111111…
…100011100111010
32120212020102101100
4323233330130322
54023110032442
6243245232230
733561315210
oct7357743472
92525212340
101002424122
1147492a097
1223b862676
1312c8a868b
14971bccb0
155d00e84c
hex3bbfc73a

1002424122 has 96 divisors (see below), whose sum is σ = 2574434304. Its totient is φ = 275853600.

The previous prime is 1002424109. The next prime is 1002424123. The reversal of 1002424122 is 2214242001.

1002424122 is a `hidden beast` number, since 10 + 0 + 242 + 412 + 2 = 666.

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 = 1002424095 and 1002424104.

It is not an unprimeable number, because it can be changed into a prime (1002424123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058053 + ... + 1058999.

It is an arithmetic number, because the mean of its divisors is an integer number (26817024).

Almost surely, 21002424122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002424122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287217152).

1002424122 is an abundant number, since it is smaller than the sum of its proper divisors (1572010182).

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

1002424122 is a wasteful number, since it uses less digits than its factorization.

1002424122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1261 counting only the distinct ones).

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

The square root of 1002424122 is about 31661.0821356441. The cubic root of 1002424122 is about 1000.8073886149.

Adding to 1002424122 its reverse (2214242001), we get a palindrome (3216666123).

The spelling of 1002424122 in words is "one billion, two million, four hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 271 279 434 542 558 651 813 947 1302 1626 1894 1897 1953 2439 2841 3794 3906 4878 5682 5691 6629 8401 8523 11382 13258 16802 17046 17073 19887 25203 29357 34146 39774 50406 58714 58807 59661 75609 88071 117614 119322 151218 176142 176421 205499 256637 264213 352842 410998 513274 528426 529263 616497 769911 1058526 1232994 1539822 1796459 1849491 2309733 3592918 3698982 4619466 5389377 7955747 10778754 15911494 16168131 23867241 32336262 47734482 55690229 71601723 111380458 143203446 167070687 334141374 501212061 1002424122