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1128347136 = 2932734981
BaseRepresentation
bin100001101000001…
…0011011000000000
32220122011222021200
41003100103120000
54302324102021
6303544221200
736650535540
oct10320233000
92818158250
101128347136
11529a169a4
12275a6a800
1314c9c7537
14a9bdb320
15690d5126
hex43413600

1128347136 has 120 divisors (see below), whose sum is σ = 3721804944. Its totient is φ = 322375680.

The previous prime is 1128347117. The next prime is 1128347141. The reversal of 1128347136 is 6317438211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1128347136.

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, 14766 + ... + 49746.

Almost surely, 21128347136 is an apocalyptic number.

1128347136 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 1128347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860902472).

1128347136 is an abundant number, since it is smaller than the sum of its proper divisors (2593457808).

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

1128347136 is an equidigital number, since it uses as much as digits as its factorization.

1128347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35012 (or 34993 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1128347136 is about 33590.8787619496. The cubic root of 1128347136 is about 1041.0723455993.

The spelling of 1128347136 in words is "one billion, one hundred twenty-eight million, three hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 34981 69962 104943 139924 209886 244867 279848 314829 419772 489734 559696 629658 734601 839544 979468 1119392 1259316 1469202 1679088 1958936 2203803 2238784 2518632 2938404 3358176 3917872 4407606 4477568 5037264 5876808 6716352 7835744 8815212 8955136 10074528 11753616 13432704 15671488 17630424 17910272 20149056 23507232 26865408 31342976 35260848 40298112 47014464 53730816 62685952 70521696 80596224 94028928 125371904 141043392 161192448 188057856 282086784 376115712 564173568 1128347136