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1128199248 = 2432111315437
BaseRepresentation
bin100001100111110…
…1111010001010000
32220121220110102100
41003033233101100
54302304333443
6303541120400
736646351431
oct10317572120
92817813370
101128199248
11529925880
122759b9100
1314c975127
14a9b9d488
15690a63d3
hex433ef450

1128199248 has 120 divisors (see below), whose sum is σ = 3471358176. Its totient is φ = 339206400.

The previous prime is 1128199229. The next prime is 1128199277. The reversal of 1128199248 is 8429918211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204786 + ... + 210222.

Almost surely, 21128199248 is an apocalyptic number.

1128199248 is a gapful number since it is divisible by the number (18) 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 1128199248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735679088).

1128199248 is an abundant number, since it is smaller than the sum of its proper divisors (2343158928).

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

1128199248 is a wasteful number, since it uses less digits than its factorization.

1128199248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5584 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 1128199248 is about 33588.6773779498. The cubic root of 1128199248 is about 1041.0268605327.

The spelling of 1128199248 in words is "one billion, one hundred twenty-eight million, one hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 131 132 144 176 198 262 264 393 396 524 528 786 792 1048 1179 1441 1572 1584 2096 2358 2882 3144 4323 4716 5437 5764 6288 8646 9432 10874 11528 12969 16311 17292 18864 21748 23056 25938 32622 34584 43496 48933 51876 59807 65244 69168 86992 97866 103752 119614 130488 179421 195732 207504 239228 260976 358842 391464 478456 538263 712247 717684 782928 956912 1076526 1424494 1435368 2136741 2153052 2848988 2870736 4273482 4306104 5697976 6410223 7834717 8546964 8612208 11395952 12820446 15669434 17093928 23504151 25640892 31338868 34187856 47008302 51281784 62677736 70512453 94016604 102563568 125355472 141024906 188033208 282049812 376066416 564099624 1128199248