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1126268388 = 223471573163
BaseRepresentation
bin100001100100001…
…0111110111100100
32220111021100210000
41003020113313210
54301311042023
6303431501300
736624060210
oct10310276744
92814240700
101126268388
11528827123
12275227830
1314c44a2cb
14a9819940
1568d24243
hex43217de4

1126268388 has 120 divisors (see below), whose sum is σ = 3387403712. Its totient is φ = 319640256.

The previous prime is 1126268387. The next prime is 1126268399. The reversal of 1126268388 is 8838626211.

1126268388 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 268 + 388 = 666.

It is not an unprimeable number, because it can be changed into a prime (1126268387) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 354495 + ... + 357657.

Almost surely, 21126268388 is an apocalyptic number.

1126268388 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 1126268388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693701856).

1126268388 is an abundant number, since it is smaller than the sum of its proper divisors (2261135324).

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

1126268388 is a wasteful number, since it uses less digits than its factorization.

1126268388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3332 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1126268388 is about 33559.9223479435. The cubic root of 1126268388 is about 1040.4326318872.

The spelling of 1126268388 in words is "one billion, one hundred twenty-six million, two hundred sixty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 157 162 189 252 314 324 378 471 567 628 756 942 1099 1134 1413 1884 2198 2268 2826 3163 3297 4239 4396 5652 6326 6594 8478 9489 9891 12652 12717 13188 16956 18978 19782 22141 25434 28467 29673 37956 39564 44282 50868 56934 59346 66423 85401 88564 89019 113868 118692 132846 170802 178038 199269 256203 265692 341604 356076 398538 496591 512406 597807 797076 993182 1024812 1195614 1489773 1793421 1986364 2391228 2979546 3476137 3586842 4469319 5959092 6952274 7173684 8938638 10428411 13407957 13904548 17877276 20856822 26815914 31285233 40223871 41713644 53631828 62570466 80447742 93855699 125140932 160895484 187711398 281567097 375422796 563134194 1126268388