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1126601680 = 24561230861
BaseRepresentation
bin100001100100110…
…1001001111010000
32220111220021222011
41003021221033100
54301402223210
6303442552304
736626646001
oct10311511720
92814807864
101126601680
11528a34576
12275368694
1314c535c19
14a98a51a8
1568d8cd8a
hex432693d0

1126601680 has 40 divisors (see below), whose sum is σ = 2662300584. Its totient is φ = 443251200.

The previous prime is 1126601647. The next prime is 1126601689. The reversal of 1126601680 is 861066211.

It can be written as a sum of positive squares in 4 ways, for example, as 43138624 + 1083463056 = 6568^2 + 32916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126601689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110551 + ... + 120310.

Almost surely, 21126601680 is an apocalyptic number.

1126601680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1126601680 is an abundant number, since it is smaller than the sum of its proper divisors (1535698904).

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

1126601680 is a wasteful number, since it uses less digits than its factorization.

1126601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230935 (or 230929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1126601680 is about 33564.8876059492. The cubic root of 1126601680 is about 1040.5352520904.

Adding to 1126601680 its reverse (861066211), we get a palindrome (1987667891).

The spelling of 1126601680 in words is "one billion, one hundred twenty-six million, six hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 230861 461722 923444 1154305 1846888 2308610 3693776 4617220 9234440 14082521 18468880 28165042 56330084 70412605 112660168 140825210 225320336 281650420 563300840 1126601680