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1150431128 = 237118322501
BaseRepresentation
bin100010010010010…
…0010111110011000
32222011201221211022
41010210202332120
54324002244003
6310053422012
740336334420
oct10444427630
92864657738
101150431128
1154042aa30
1228133a908
1315445a3a2
14acb09480
156aee8738
hex44922f98

1150431128 has 64 divisors (see below), whose sum is σ = 2721841920. Its totient is φ = 442800000.

The previous prime is 1150431097. The next prime is 1150431179. The reversal of 1150431128 is 8211340511.

It is a junction number, because it is equal to n+sod(n) for n = 1150431097 and 1150431106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39878 + ... + 62378.

It is an arithmetic number, because the mean of its divisors is an integer number (42528780).

Almost surely, 21150431128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150431128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360920960).

1150431128 is an abundant number, since it is smaller than the sum of its proper divisors (1571410792).

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

1150431128 is a wasteful number, since it uses less digits than its factorization.

1150431128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22608 (or 22604 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 1150431128 is about 33918.0059555393. The cubic root of 1150431128 is about 1047.8204609596.

Adding to 1150431128 its reverse (8211340511), we get a palindrome (9361771639).

The spelling of 1150431128 in words is "one billion, one hundred fifty million, four hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 83 88 154 166 308 332 581 616 664 913 1162 1826 2324 3652 4648 6391 7304 12782 22501 25564 45002 51128 90004 157507 180008 247511 315014 495022 630028 990044 1260056 1732577 1867583 1980088 3465154 3735166 6930308 7470332 13073081 13860616 14940664 20543413 26146162 41086826 52292324 82173652 104584648 143803891 164347304 287607782 575215564 1150431128