Search a number
-
+
1120201008 = 24347975119
BaseRepresentation
bin100001011000100…
…1110100100110000
32220001212002220020
41002301032210300
54243232413013
6303053443440
736521360103
oct10261164460
92801762806
101120201008
11525362663
122731a0580
1314b104744
14a8aba73a
1568526623
hex42c4e930

1120201008 has 80 divisors (see below), whose sum is σ = 2986475520. Its totient is φ = 361617408.

The previous prime is 1120201007. The next prime is 1120201013. The reversal of 1120201008 is 8001020211.

It is not an unprimeable number, because it can be changed into a prime (1120201007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216273 + ... + 221391.

It is an arithmetic number, because the mean of its divisors is an integer number (37330944).

Almost surely, 21120201008 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 1120201008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493237760).

1120201008 is an abundant number, since it is smaller than the sum of its proper divisors (1866274512).

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

1120201008 is a wasteful number, since it uses less digits than its factorization.

1120201008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1120201008 is about 33469.4040580349. The cubic root of 1120201008 is about 1038.5609436095.

Adding to 1120201008 its reverse (8001020211), we get a palindrome (9121221219).

The spelling of 1120201008 in words is "one billion, one hundred twenty million, two hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 97 141 188 194 282 291 376 388 564 582 752 776 1128 1164 1552 2256 2328 4559 4656 5119 9118 10238 13677 15357 18236 20476 27354 30714 36472 40952 54708 61428 72944 81904 109416 122856 218832 240593 245712 481186 496543 721779 962372 993086 1443558 1489629 1924744 1986172 2887116 2979258 3849488 3972344 5774232 5958516 7944688 11548464 11917032 23337521 23834064 46675042 70012563 93350084 140025126 186700168 280050252 373400336 560100504 1120201008