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1120676088 = 2337191093221
BaseRepresentation
bin100001011001100…
…0010100011111000
32220002202020120210
41002303002203320
54243343113323
6303111551120
736525406140
oct10263024370
92802666523
101120676088
11525657594
1227338b4a0
1314b23ca5c
14a8ba1920
15685bc293
hex42cc28f8

1120676088 has 128 divisors (see below), whose sum is σ = 3402432000. Its totient is φ = 300464640.

The previous prime is 1120676077. The next prime is 1120676101. The reversal of 1120676088 is 8806760211.

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 31 ways as a sum of consecutive naturals, for example, 346318 + ... + 349538.

It is an arithmetic number, because the mean of its divisors is an integer number (26581500).

Almost surely, 21120676088 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 1120676088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701216000).

1120676088 is an abundant number, since it is smaller than the sum of its proper divisors (2281755912).

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

1120676088 is a wasteful number, since it uses less digits than its factorization.

1120676088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1120676088 is about 33476.5005339567. The cubic root of 1120676088 is about 1038.7077416084.

The spelling of 1120676088 in words is "one billion, one hundred twenty million, six hundred seventy-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 109 114 133 152 168 218 228 266 327 399 436 456 532 654 763 798 872 1064 1308 1526 1596 2071 2289 2616 3052 3192 3221 4142 4578 6104 6213 6442 8284 9156 9663 12426 12884 14497 16568 18312 19326 22547 24852 25768 28994 38652 43491 45094 49704 57988 61199 67641 77304 86982 90188 115976 122398 135282 173964 180376 183597 244796 270564 347928 351089 367194 428393 489592 541128 702178 734388 856786 1053267 1285179 1404356 1468776 1713572 2106534 2457623 2570358 2808712 3427144 4213068 4915246 5140716 6670691 7372869 8426136 9830492 10281432 13341382 14745738 19660984 20012073 26682764 29491476 40024146 46694837 53365528 58982952 80048292 93389674 140084511 160096584 186779348 280169022 373558696 560338044 1120676088