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1280052128 = 251710721991
BaseRepresentation
bin100110001001100…
…0000101110100000
310022012122101102002
41030103000232200
510110143132003
6331003543132
743502156255
oct11423005640
93265571362
101280052128
115a7613123
122b882aaa8
131752724c4
14c200b42c
157759ea88
hex4c4c0ba0

1280052128 has 48 divisors (see below), whose sum is σ = 2693404224. Its totient is φ = 596720640.

The previous prime is 1280052127. The next prime is 1280052133. The reversal of 1280052128 is 8212500821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1280052128.

It is not an unprimeable number, because it can be changed into a prime (1280052127) by changing a digit.

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, 47213 + ... + 69203.

It is an arithmetic number, because the mean of its divisors is an integer number (56112588).

Almost surely, 21280052128 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 1280052128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346702112).

1280052128 is an abundant number, since it is smaller than the sum of its proper divisors (1413352096).

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

1280052128 is a wasteful number, since it uses less digits than its factorization.

1280052128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 1280052128 is about 35777.8161435267. The cubic root of 1280052128 is about 1085.7817857255.

Adding to 1280052128 its reverse (8212500821), we get a palindrome (9492552949).

The spelling of 1280052128 in words is "one billion, two hundred eighty million, fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 107 136 214 272 428 544 856 1712 1819 3424 3638 7276 14552 21991 29104 43982 58208 87964 175928 351856 373847 703712 747694 1495388 2353037 2990776 4706074 5981552 9412148 11963104 18824296 37648592 40001629 75297184 80003258 160006516 320013032 640026064 1280052128