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1126733166 = 235131391283
BaseRepresentation
bin100001100101000…
…1001010101101110
32220112010222100000
41003022021111232
54301420430131
6303445445130
736631034226
oct10312112556
92815128300
101126733166
11529014339
122754107a6
1314c580a20
14a98db086
1568db6ce6
hex4328956e

1126733166 has 96 divisors (see below), whose sum is σ = 2748170880. Its totient is φ = 343924704.

The previous prime is 1126733129. The next prime is 1126733197. The reversal of 1126733166 is 6613376211.

1126733166 is a `hidden beast` number, since 1 + 1 + 267 + 331 + 66 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1126733166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877561 + ... + 878843.

It is an arithmetic number, because the mean of its divisors is an integer number (28626780).

Almost surely, 21126733166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126733166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374085440).

1126733166 is an abundant number, since it is smaller than the sum of its proper divisors (1621437714).

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

1126733166 is a wasteful number, since it uses less digits than its factorization.

1126733166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1126733166 is about 33566.8462325551. The cubic root of 1126733166 is about 1040.5757309033.

The spelling of 1126733166 in words is "one billion, one hundred twenty-six million, seven hundred thirty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 139 162 234 243 278 351 417 486 702 834 1053 1251 1283 1807 2106 2502 2566 3159 3614 3753 3849 5421 6318 7506 7698 10842 11259 11547 16263 16679 22518 23094 32526 33358 33777 34641 48789 50037 67554 69282 97578 100074 103923 146367 150111 178337 207846 292734 300222 311769 356674 439101 450333 535011 623538 878202 900666 1070022 1350999 1605033 2318381 2701998 3210066 4052997 4636762 4815099 6955143 8105994 9630198 13910286 14445297 20865429 28890594 41730858 43335891 62596287 86671782 125192574 187788861 375577722 563366583 1126733166