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1128091008 = 27311535039
BaseRepresentation
bin100001100111101…
…0100110110000000
32220121200221221110
41003033110312000
54302242403013
6303534523320
736645421032
oct10317246600
92817627843
101128091008
11529861520
12275966540
1314c937a95
14a9b71c52
15690842c3
hex433d4d80

1128091008 has 128 divisors (see below), whose sum is σ = 3331238400. Its totient is φ = 335329280.

The previous prime is 1128090991. The next prime is 1128091021. The reversal of 1128091008 is 8001908211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 221353 + ... + 226391.

It is an arithmetic number, because the mean of its divisors is an integer number (26025300).

Almost surely, 21128091008 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 1128091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665619200).

1128091008 is an abundant number, since it is smaller than the sum of its proper divisors (2203147392).

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

1128091008 is a wasteful number, since it uses less digits than its factorization.

1128091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 1128091008 is about 33587.0660820501. The cubic root of 1128091008 is about 1040.9935672554.

Adding to 1128091008 its reverse (8001908211), we get a palindrome (9129999219).

The spelling of 1128091008 in words is "one billion, one hundred twenty-eight million, ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 264 318 352 384 424 528 583 636 704 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 3392 3498 4224 4664 5039 5088 6784 6996 9328 10078 10176 13992 15117 18656 20156 20352 27984 30234 37312 40312 55429 55968 60468 74624 80624 110858 111936 120936 161248 166287 221716 223872 241872 267067 322496 332574 443432 483744 534134 644992 665148 801201 886864 967488 1068268 1330296 1602402 1773728 1934976 2136536 2660592 2937737 3204804 3547456 4273072 5321184 5875474 6409608 7094912 8546144 8813211 10642368 11750948 12819216 17092288 17626422 21284736 23501896 25638432 34184576 35252844 47003792 51276864 70505688 94007584 102553728 141011376 188015168 282022752 376030336 564045504 1128091008