Search a number
-
+
1324140210 = 23451997887
BaseRepresentation
bin100111011101100…
…1100011010110010
310102021121021220000
41032323030122302
510202434441320
6335220530430
744546002041
oct11673143262
93367537800
101324140210
1161a496158
1230b550a16
1318143aa23
14c7c06558
157b3acc90
hex4eecc6b2

1324140210 has 160 divisors (see below), whose sum is σ = 3790765440. Its totient is φ = 330697728.

The previous prime is 1324140197. The next prime is 1324140221. The reversal of 1324140210 is 120414231.

1324140210 is a `hidden beast` number, since 13 + 241 + 402 + 10 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 1492387 + ... + 1493273.

It is an arithmetic number, because the mean of its divisors is an integer number (23692284).

Almost surely, 21324140210 is an apocalyptic number.

1324140210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324140210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895382720).

1324140210 is an abundant number, since it is smaller than the sum of its proper divisors (2466625230).

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

1324140210 is a wasteful number, since it uses less digits than its factorization.

1324140210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

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

The square root of 1324140210 is about 36388.7374059612. The cubic root of 1324140210 is about 1098.1069948588.

Adding to 1324140210 its reverse (120414231), we get a palindrome (1444554441).

The spelling of 1324140210 in words is "one billion, three hundred twenty-four million, one hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 97 114 135 162 171 190 194 270 285 291 342 405 485 513 570 582 810 855 873 887 970 1026 1455 1539 1710 1746 1774 1843 2565 2619 2661 2910 3078 3686 4365 4435 5130 5238 5322 5529 7695 7857 7983 8730 8870 9215 11058 13095 13305 15390 15714 15966 16587 16853 18430 23949 26190 26610 27645 33174 33706 39285 39915 47898 49761 50559 55290 71847 78570 79830 82935 84265 86039 99522 101118 119745 143694 149283 151677 165870 168530 172078 239490 248805 252795 258117 298566 303354 359235 430195 455031 497610 505590 516234 718470 746415 758385 774351 860390 910062 1290585 1365093 1492830 1516770 1548702 1634741 2275155 2323053 2581170 2730186 3269482 3871755 4550310 4646106 4904223 6825465 6969159 7743510 8173705 9808446 11615265 13650930 13938318 14712669 16347410 23230530 24521115 29425338 34845795 44138007 49042230 69691590 73563345 88276014 132414021 147126690 220690035 264828042 441380070 662070105 1324140210