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1126139940 = 223256256333
BaseRepresentation
bin100001100011111…
…1000100000100100
32220111000211120200
41003013320200210
54301242434230
6303425030500
736623013552
oct10307704044
92814024520
101126139940
11528749672
12275185430
1314c4039c3
14a97c4bd2
1568ceb160
hex431f8824

1126139940 has 36 divisors (see below), whose sum is σ = 3415958364. Its totient is φ = 300303936.

The previous prime is 1126139923. The next prime is 1126139947. The reversal of 1126139940 is 499316211.

It is a happy number.

1126139940 is a `hidden beast` number, since 1 + 1 + 261 + 399 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 406183716 + 719956224 = 20154^2 + 26832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1126139895 and 1126139904.

It is not an unprimeable number, because it can be changed into a prime (1126139947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3127987 + ... + 3128346.

Almost surely, 21126139940 is an apocalyptic number.

1126139940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1126139940 is an abundant number, since it is smaller than the sum of its proper divisors (2289818424).

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

1126139940 is a wasteful number, since it uses less digits than its factorization.

1126139940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256348 (or 6256343 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1126139940 is about 33558.0085821552. The cubic root of 1126139940 is about 1040.3930774989.

The spelling of 1126139940 in words is "one billion, one hundred twenty-six million, one hundred thirty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6256333 12512666 18768999 25025332 31281665 37537998 56306997 62563330 75075996 93844995 112613994 125126660 187689990 225227988 281534985 375379980 563069970 1126139940