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2120430410 = 257229372109
BaseRepresentation
bin111111001100011…
…0011001101001010
312110202222000200122
41332120303031022
513320312233120
6550224103242
7103355234600
oct17630631512
95422860618
102120430410
11998a2282a
124b2164b22
1327a3c2167
14161887870
15c6250a25
hex7e63334a

2120430410 has 144 divisors (see below), whose sum is σ = 4763820600. Its totient is φ = 676698624.

The previous prime is 2120430397. The next prime is 2120430437. The reversal of 2120430410 is 140340212.

It can be written as a sum of positive squares in 12 ways, for example, as 1280995681 + 839434729 = 35791^2 + 28973^2 .

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 71 ways as a sum of consecutive naturals, for example, 19453436 + ... + 19453544.

Almost surely, 22120430410 is an apocalyptic number.

2120430410 is an abundant number, since it is smaller than the sum of its proper divisors (2643390190).

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

2120430410 is a wasteful number, since it uses less digits than its factorization.

2120430410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2120430410 is about 46048.1314496039. The cubic root of 2120430410 is about 1284.7185886712.

Adding to 2120430410 its reverse (140340212), we get a palindrome (2260770622).

The spelling of 2120430410 in words is "two billion, one hundred twenty million, four hundred thirty thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 29 35 37 49 58 70 74 98 109 145 185 203 218 245 259 290 370 406 490 518 545 763 1015 1073 1090 1295 1369 1421 1526 1813 2030 2146 2590 2738 2842 3161 3626 3815 4033 5341 5365 6322 6845 7105 7511 7630 8066 9065 9583 10682 10730 13690 14210 15022 15805 18130 19166 20165 22127 26705 28231 31610 37555 39701 40330 44254 47915 52577 53410 56462 67081 75110 79402 95830 105154 110635 116957 134162 141155 149221 154889 197617 198505 221270 233914 262885 277907 282310 298442 309778 335405 395234 397010 525770 555814 584785 670810 746105 774445 818699 988085 1044547 1169570 1389535 1492210 1548890 1637398 1945349 1976170 2089094 2779070 3890698 4093495 4327409 5222735 5730893 7311829 8186990 8654818 9726745 10445470 11461786 14623658 19453490 21637045 28654465 30291863 36559145 43274090 57308930 60583726 73118290 151459315 212043041 302918630 424086082 1060215205 2120430410