Search a number
-
+
1073051220 = 2235172193257
BaseRepresentation
bin111111111101010…
…111011001010100
32202210010122112210
4333331113121110
54144200114340
6254251113420
735406533133
oct7775273124
92683118483
101073051220
1150078929a
1225b442870
13141406767
14a272591a
1564311180
hex3ff57654

1073051220 has 144 divisors (see below), whose sum is σ = 3360692160. Its totient is φ = 255062016.

The previous prime is 1073051209. The next prime is 1073051251. The reversal of 1073051220 is 221503701.

It is a congruent number.

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, 327832 + ... + 331088.

It is an arithmetic number, because the mean of its divisors is an integer number (23338140).

Almost surely, 21073051220 is an apocalyptic number.

1073051220 is a gapful number since it is divisible by the number (10) 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 1073051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680346080).

1073051220 is an abundant number, since it is smaller than the sum of its proper divisors (2287640940).

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

1073051220 is a wasteful number, since it uses less digits than its factorization.

1073051220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1073051220 is about 32757.4605242836. The cubic root of 1073051220 is about 1023.7804158170.

Adding to 1073051220 its reverse (221503701), we get a palindrome (1294554921).

The spelling of 1073051220 in words is "one billion, seventy-three million, fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 289 323 340 380 510 570 578 646 867 969 1020 1140 1156 1292 1445 1615 1734 1938 2890 3230 3257 3468 3876 4335 4845 5491 5780 6460 6514 8670 9690 9771 10982 13028 16285 16473 17340 19380 19542 21964 27455 32570 32946 39084 48855 54910 55369 61883 65140 65892 82365 97710 109820 110738 123766 164730 166107 185649 195420 221476 247532 276845 309415 329460 332214 371298 553690 618830 664428 742596 830535 928245 941273 1052011 1107380 1237660 1661070 1856490 1882546 2104022 2823819 3156033 3322140 3712980 3765092 4208044 4706365 5260055 5647638 6312066 9412730 10520110 11295276 12624132 14119095 15780165 17884187 18825460 21040220 28238190 31560330 35768374 53652561 56476380 63120660 71536748 89420935 107305122 178841870 214610244 268262805 357683740 536525610 1073051220