Search a number
-
+
1280122056 = 23355911161
BaseRepresentation
bin100110001001101…
…0001110011001000
310022012202221100000
41030103101303020
510110202401211
6331005243000
743502600163
oct11423216310
93265687300
101280122056
115a7660714
122b8863460
13175298295
14c2028ada
15775b5656
hex4c4d1cc8

1280122056 has 96 divisors (see below), whose sum is σ = 3656671200. Its totient is φ = 419437440.

The previous prime is 1280122043. The next prime is 1280122061. The reversal of 1280122056 is 6502210821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109116 + ... + 120276.

It is an arithmetic number, because the mean of its divisors is an integer number (38090325).

Almost surely, 21280122056 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 1280122056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828335600).

1280122056 is an abundant number, since it is smaller than the sum of its proper divisors (2376549144).

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

1280122056 is a wasteful number, since it uses less digits than its factorization.

1280122056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1280122056 is about 35778.7933837909. The cubic root of 1280122056 is about 1085.8015570990.

Adding to 1280122056 its reverse (6502210821), we get a palindrome (7782332877).

The spelling of 1280122056 in words is "one billion, two hundred eighty million, one hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 531 648 708 972 1062 1416 1593 1944 2124 3186 4248 4779 6372 9558 11161 12744 14337 19116 22322 28674 33483 38232 44644 57348 66966 89288 100449 114696 133932 200898 267864 301347 401796 602694 658499 803592 904041 1205388 1316998 1808082 1975497 2410776 2633996 2712123 3616164 3950994 5267992 5424246 5926491 7232328 7901988 10848492 11852982 15803976 17779473 21696984 23705964 35558946 47411928 53338419 71117892 106676838 142235784 160015257 213353676 320030514 426707352 640061028 1280122056