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1126056160 = 25516343177
BaseRepresentation
bin100001100011110…
…0100000011100000
32220110212120122201
41003013210003200
54301232244120
6303423142544
736622214365
oct10307440340
92813776581
101126056160
115286a1729
12275144a54
1314c3a4828
14a97a246c
1568cd140a
hex431e40e0

1126056160 has 48 divisors (see below), whose sum is σ = 2676690576. Its totient is φ = 447648768.

The previous prime is 1126056091. The next prime is 1126056163. The reversal of 1126056160 is 616506211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126056163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4492 + ... + 47668.

It is an arithmetic number, because the mean of its divisors is an integer number (55764387).

Almost surely, 21126056160 is an apocalyptic number.

1126056160 is a gapful number since it is divisible by the number (10) 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 1126056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338345288).

1126056160 is an abundant number, since it is smaller than the sum of its proper divisors (1550634416).

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

1126056160 is a wasteful number, since it uses less digits than its factorization.

1126056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43355 (or 43347 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1126056160 is about 33556.7602727081. The cubic root of 1126056160 is about 1040.3672765924.

The spelling of 1126056160 in words is "one billion, one hundred twenty-six million, fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 1304 1630 2608 3260 5216 6520 13040 26080 43177 86354 172708 215885 345416 431770 690832 863540 1381664 1727080 3454160 6908320 7037851 14075702 28151404 35189255 56302808 70378510 112605616 140757020 225211232 281514040 563028080 1126056160