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1126412768 = 25138093347
BaseRepresentation
bin100001100100011…
…1011000111100000
32220111112200211102
41003020323013200
54301330202033
6303434533532
736625231145
oct10310730740
92814480742
101126412768
11528915648
122752972a8
1314c49ac40
14a98563cc
1568d51de8
hex4323b1e0

1126412768 has 48 divisors (see below), whose sum is σ = 2391878160. Its totient is φ = 519085056.

The previous prime is 1126412761. The next prime is 1126412789. The reversal of 1126412768 is 8672146211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126412761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 334871 + ... + 338217.

It is an arithmetic number, because the mean of its divisors is an integer number (49830795).

Almost surely, 21126412768 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 1126412768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195939080).

1126412768 is an abundant number, since it is smaller than the sum of its proper divisors (1265465392).

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

1126412768 is a wasteful number, since it uses less digits than its factorization.

1126412768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4171 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 1126412768 is about 33562.0733566924. The cubic root of 1126412768 is about 1040.4770887995.

Adding to 1126412768 its reverse (8672146211), we get a palindrome (9798558979).

The spelling of 1126412768 in words is "one billion, one hundred twenty-six million, four hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 809 1618 3236 3347 6472 6694 10517 12944 13388 21034 25888 26776 42068 43511 53552 84136 87022 107104 168272 174044 336544 348088 696176 1392352 2707723 5415446 10830892 21661784 35200399 43323568 70400798 86647136 140801596 281603192 563206384 1126412768