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1129449216 = 2837230013
BaseRepresentation
bin100001101010010…
…0000011100000000
32220201020222001110
41003110200130000
54303114333331
6304024003320
736663105600
oct10324403400
92821228043
101129449216
1152a5a9a05
12276300540
1314ccc205c
14aa006c00
1569251946
hex43520700

1129449216 has 108 divisors (see below), whose sum is σ = 3496871112. Its totient is φ = 322689024.

The previous prime is 1129449199. The next prime is 1129449289. The reversal of 1129449216 is 6129449211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22626 + ... + 52638.

Almost surely, 21129449216 is an apocalyptic number.

1129449216 is a gapful number since it is divisible by the number (16) 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 1129449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748435556).

1129449216 is an abundant number, since it is smaller than the sum of its proper divisors (2367421896).

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

1129449216 is an equidigital number, since it uses as much as digits as its factorization.

1129449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30046 (or 30025 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 1129449216 is about 33607.2792115042. The cubic root of 1129449216 is about 1041.4111809427.

The spelling of 1129449216 in words is "one billion, one hundred twenty-nine million, four hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 30013 37632 60026 90039 120052 180078 210091 240104 360156 420182 480208 630273 720312 840364 960416 1260546 1440624 1470637 1680728 1920832 2521092 2881248 2941274 3361456 3841664 4411911 5042184 5762496 5882548 6722912 7683328 8823822 10084368 11524992 11765096 13445824 17647644 20168736 23049984 23530192 26891648 35295288 40337472 47060384 53783296 70590576 80674944 94120768 141181152 161349888 188241536 282362304 376483072 564724608 1129449216