Search a number
-
+
1241322160 = 245138913411
BaseRepresentation
bin100100111111101…
…0001001010110000
310012111202200212211
41021333101022300
510020234302120
6323101501504
742522031021
oct11177211260
93174680784
101241322160
1158776a791
122a7871894
1316a231a70
14bac08c48
1573e9e25a
hex49fd12b0

1241322160 has 80 divisors (see below), whose sum is σ = 3143236320. Its totient is φ = 453150720.

The previous prime is 1241322157. The next prime is 1241322161. The reversal of 1241322160 is 612231421.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1241322161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85855 + ... + 99265.

It is an arithmetic number, because the mean of its divisors is an integer number (39290454).

Almost surely, 21241322160 is an apocalyptic number.

1241322160 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 1241322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571618160).

1241322160 is an abundant number, since it is smaller than the sum of its proper divisors (1901914160).

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

1241322160 is a wasteful number, since it uses less digits than its factorization.

1241322160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13526 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1241322160 is about 35232.4021321283. The cubic root of 1241322160 is about 1074.7187755446.

Adding to 1241322160 its reverse (612231421), we get a palindrome (1853553581).

The spelling of 1241322160 in words is "one billion, two hundred forty-one million, three hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 89 104 130 178 208 260 356 445 520 712 890 1040 1157 1424 1780 2314 3560 4628 5785 7120 9256 11570 13411 18512 23140 26822 46280 53644 67055 92560 107288 134110 174343 214576 268220 348686 536440 697372 871715 1072880 1193579 1394744 1743430 2387158 2789488 3486860 4774316 5967895 6973720 9548632 11935790 13947440 15516527 19097264 23871580 31033054 47743160 62066108 77582635 95486320 124132216 155165270 248264432 310330540 620661080 1241322160