Search a number
-
+
1321042140 = 22325114116273
BaseRepresentation
bin100111010111101…
…1000000011011100
310102001202220010200
41032233120003130
510201141322030
6335030303500
744510446545
oct11657300334
93361686120
101321042140
1161876a570
1230a4b7b90
131808c4852
14c763b4cc
157ae99d60
hex4ebd80dc

1321042140 has 144 divisors (see below), whose sum is σ = 4478344416. Its totient is φ = 312422400.

The previous prime is 1321042057. The next prime is 1321042201. The reversal of 1321042140 is 412401231.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 73044 + ... + 89316.

It is an arithmetic number, because the mean of its divisors is an integer number (31099614).

Almost surely, 21321042140 is an apocalyptic number.

1321042140 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 1321042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239172208).

1321042140 is an abundant number, since it is smaller than the sum of its proper divisors (3157302276).

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

1321042140 is a wasteful number, since it uses less digits than its factorization.

1321042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16340 (or 16335 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1321042140 is about 36346.1433992659. The cubic root of 1321042140 is about 1097.2499181995.

Adding to 1321042140 its reverse (412401231), we get a palindrome (1733443371).

The spelling of 1321042140 in words is "one billion, three hundred twenty-one million, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 16273 20295 27060 32546 40590 48819 65092 81180 81365 97638 146457 162730 179003 195276 244095 292914 325460 358006 488190 537009 585828 667193 716012 732285 895015 976380 1074018 1334386 1464570 1611027 1790030 2001579 2148036 2668772 2685045 2929140 3222054 3335965 3580060 4003158 5370090 6004737 6444108 6671930 7339123 8006316 8055135 10007895 10740180 12009474 13343860 14678246 16110270 20015790 22017369 24018948 29356492 30023685 32220540 36695615 40031580 44034738 60047370 66052107 73391230 88069476 110086845 120094740 132104214 146782460 220173690 264208428 330260535 440347380 660521070 1321042140