Search a number
-
+
1130355576 = 233278572617
BaseRepresentation
bin100001101011111…
…1101101101111000
32220202222000100100
41003113331231320
54303332334301
6304055235400
740003602210
oct10327755570
92822860310
101130355576
11530068969
12276678b60
1315024b76c
14aa1a1240
1569380286
hex435fdb78

1130355576 has 96 divisors (see below), whose sum is σ = 3504140640. Its totient is φ = 322458624.

The previous prime is 1130355553. The next prime is 1130355601. The reversal of 1130355576 is 6755530311.

1130355576 is a `hidden beast` number, since 1 + 1 + 30 + 3 + 55 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1130355576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430620 + ... + 433236.

It is an arithmetic number, because the mean of its divisors is an integer number (36501465).

Almost surely, 21130355576 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 1130355576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752070320).

1130355576 is an abundant number, since it is smaller than the sum of its proper divisors (2373785064).

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

1130355576 is a wasteful number, since it uses less digits than its factorization.

1130355576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 1130355576 is about 33620.7610859719. The cubic root of 1130355576 is about 1041.6896768833.

Adding to 1130355576 its reverse (6755530311), we get a palindrome (7885885887).

The spelling of 1130355576 in words is "one billion, one hundred thirty million, three hundred fifty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 857 1714 2571 2617 3428 5142 5234 5999 6856 7713 7851 10284 10468 11998 15426 15702 17997 18319 20568 20936 23553 23996 30852 31404 35994 36638 47106 47992 53991 54957 61704 62808 71988 73276 94212 107982 109914 143976 146552 164871 188424 215964 219828 329742 431928 439656 659484 1318968 2242769 4485538 6728307 8971076 13456614 15699383 17942152 20184921 26913228 31398766 40369842 47098149 53826456 62797532 80739684 94196298 125595064 141294447 161479368 188392596 282588894 376785192 565177788 1130355576