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1132726336 = 26726012
BaseRepresentation
bin100001110000100…
…0000100001000000
32220221102110102021
41003201000201000
54304434220321
6304222131224
740033005100
oct10341004100
92827373367
101132726336
11531438075
12277420b14
1315089b891
14aa61b200
156969c941
hex43840840

1132726336 has 63 divisors (see below), whose sum is σ = 2619091917. Its totient is φ = 484646400.

The previous prime is 1132726319. The next prime is 1132726409. The reversal of 1132726336 is 6336272311.

The square root of 1132726336 is 33656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 952092736 + 180633600 = 30856^2 + 13440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1884436 + ... + 1885036.

Almost surely, 21132726336 is an apocalyptic number.

1132726336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1132726336 is the 33656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132726336

1132726336 is an abundant number, since it is smaller than the sum of its proper divisors (1486365581).

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

1132726336 is an frugal number, since it uses more digits than its factorization.

1132726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 610 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The cubic root of 1132726336 is about 1042.4174336287.

Adding to 1132726336 its reverse (6336272311), we get a palindrome (7468998647).

The spelling of 1132726336 in words is "one billion, one hundred thirty-two million, seven hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 601 784 1202 1568 2404 3136 4207 4808 8414 9616 16828 19232 29449 33656 38464 58898 67312 117796 134624 235592 269248 361201 471184 722402 942368 1444804 1884736 2528407 2889608 5056814 5779216 10113628 11558432 17698849 20227256 23116864 35397698 40454512 70795396 80909024 141590792 161818048 283181584 566363168 1132726336