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1126764416 = 2797151601
BaseRepresentation
bin100001100101001…
…0000111110000000
32220112012120012102
41003022100332000
54301422430131
6303450245532
736631224311
oct10312207600
92815176172
101126764416
11529035868
122754268a8
1314c59200b
14a9908608
1568dc11cb
hex43290f80

1126764416 has 64 divisors (see below), whose sum is σ = 2286684960. Its totient is φ = 552960000.

The previous prime is 1126764413. The next prime is 1126764421. The reversal of 1126764416 is 6144676211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1126764416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126764413) 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, 1874516 + ... + 1875116.

Almost surely, 21126764416 is an apocalyptic number.

1126764416 is a gapful number since it is divisible by the number (16) 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 1126764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143342480).

1126764416 is an abundant number, since it is smaller than the sum of its proper divisors (1159920544).

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

1126764416 is an equidigital number, since it uses as much as digits as its factorization.

1126764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 851 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 1126764416 is about 33567.3117183965. The cubic root of 1126764416 is about 1040.5853509541.

The spelling of 1126764416 in words is "one billion, one hundred twenty-six million, seven hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 128 151 194 302 388 601 604 776 1202 1208 1552 2404 2416 3104 4808 4832 6208 9616 9664 12416 14647 19232 19328 29294 38464 58297 58588 76928 90751 116594 117176 181502 233188 234352 363004 466376 468704 726008 932752 937408 1452016 1865504 1874816 2904032 3731008 5808064 7462016 8802847 11616128 17605694 35211388 70422776 140845552 281691104 563382208 1126764416