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1126239228 = 223431111177
BaseRepresentation
bin100001100100001…
…0000101111111100
32220111012212210000
41003020100233330
54301304123403
6303431114300
736623606202
oct10310205774
92814185700
101126239228
11528807224
12275212990
1314c439c5a
14a980d072
1568d1a7a3
hex43210bfc

1126239228 has 60 divisors (see below), whose sum is σ = 2953942992. Its totient is φ = 374172480.

The previous prime is 1126239227. The next prime is 1126239251. The reversal of 1126239228 is 8229326211.

It is a happy number.

1126239228 is a `hidden beast` number, since 1 + 1 + 2 + 623 + 9 + 2 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1126239192 and 1126239201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126239227) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95176 + ... + 106352.

Almost surely, 21126239228 is an apocalyptic number.

1126239228 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 1126239228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476971496).

1126239228 is an abundant number, since it is smaller than the sum of its proper divisors (1827703764).

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

1126239228 is a wasteful number, since it uses less digits than its factorization.

1126239228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11504 (or 11493 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1126239228 is about 33559.4878983574. The cubic root of 1126239228 is about 1040.4236525954.

The spelling of 1126239228 in words is "one billion, one hundred twenty-six million, two hundred thirty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 311 324 622 933 1244 1866 2799 3732 5598 8397 11177 11196 16794 22354 25191 33531 33588 44708 50382 67062 100593 100764 134124 201186 301779 402372 603558 905337 1207116 1810674 3476047 3621348 6952094 10428141 13904188 20856282 31284423 41712564 62568846 93853269 125137692 187706538 281559807 375413076 563119614 1126239228