Search a number
-
+
1281159168 = 2123176133
BaseRepresentation
bin100110001011100…
…1111000000000000
310022021201121222120
41030113033000000
510110434043133
6331043404240
743514446632
oct11427170000
93267647876
101281159168
115a81a9933
122b9083680
1317556c363
14c2218a52
157771cab3
hex4c5cf000

1281159168 has 104 divisors (see below), whose sum is σ = 3617538768. Its totient is φ = 401866752.

The previous prime is 1281159119. The next prime is 1281159181. The reversal of 1281159168 is 8619511821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205830 + ... + 211962.

Almost surely, 21281159168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1281159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808769384).

1281159168 is an abundant number, since it is smaller than the sum of its proper divisors (2336379600).

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

1281159168 is an equidigital number, since it uses as much as digits as its factorization.

1281159168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6155 counting only the distinct ones).

The product of its digits is 34560, while the sum is 42.

The square root of 1281159168 is about 35793.2838392903. The cubic root of 1281159168 is about 1086.0947046280.

The spelling of 1281159168 in words is "one billion, two hundred eighty-one million, one hundred fifty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6133 6144 6528 8704 12266 12288 13056 17408 18399 24532 26112 34816 36798 49064 52224 69632 73596 98128 104261 104448 147192 196256 208522 208896 294384 312783 392512 417044 588768 625566 785024 834088 1177536 1251132 1570048 1668176 2355072 2502264 3140096 3336352 4710144 5004528 6280192 6672704 9420288 10009056 12560384 13345408 18840576 20018112 25120768 26690816 37681152 40036224 53381632 75362304 80072448 106763264 160144896 213526528 320289792 427053056 640579584 1281159168