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1126034832 = 2431321271093
BaseRepresentation
bin100001100011101…
…1110110110010000
32220110211111101210
41003013132312100
54301231103312
6303422500120
736622065246
oct10307366620
92813744353
101126034832
115286876aa
12275134640
1314c397c00
14a9798796
1568cc9e3c
hex431ded90

1126034832 has 120 divisors (see below), whose sum is σ = 3177606144. Its totient is φ = 343429632.

The previous prime is 1126034803. The next prime is 1126034839. The reversal of 1126034832 is 2384306211.

It is a self number, because there is not a number n which added to its sum of digits gives 1126034832.

It is not an unprimeable number, because it can be changed into a prime (1126034839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029678 + ... + 1030770.

Almost surely, 21126034832 is an apocalyptic number.

1126034832 is a gapful number since it is divisible by the number (12) 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 1126034832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588803072).

1126034832 is an abundant number, since it is smaller than the sum of its proper divisors (2051571312).

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

1126034832 is a wasteful number, since it uses less digits than its factorization.

1126034832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1126034832 is about 33556.4424812881. The cubic root of 1126034832 is about 1040.3607082127.

The spelling of 1126034832 in words is "one billion, one hundred twenty-six million, thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 169 208 254 312 338 381 507 508 624 676 762 1014 1016 1093 1352 1524 1651 2028 2032 2186 2704 3048 3279 3302 4056 4372 4953 6096 6558 6604 8112 8744 9906 13116 13208 14209 17488 19812 21463 26232 26416 28418 39624 42627 42926 52464 56836 64389 79248 85254 85852 113672 128778 138811 170508 171704 184717 227344 257556 277622 341016 343408 369434 416433 515112 554151 555244 682032 738868 832866 1030224 1108302 1110488 1477736 1665732 1804543 2216604 2220976 2955472 3331464 3609086 4433208 5413629 6662928 7218172 8866416 10827258 14436344 21654516 23459059 28872688 43309032 46918118 70377177 86618064 93836236 140754354 187672472 281508708 375344944 563017416 1126034832