Search a number
-
+
1130345000 = 23541811249
BaseRepresentation
bin100001101011111…
…1011001000101000
32220202221110211122
41003113323020220
54303332020000
6304055114412
740003526321
oct10327731050
92822843748
101130345000
11530060a24
12276672a08
131502469c5
14aa19b448
156937c085
hex435fb228

1130345000 has 80 divisors (see below), whose sum is σ = 2665162500. Its totient is φ = 449280000.

The previous prime is 1130344993. The next prime is 1130345009. The reversal of 1130345000 is 5430311.

It can be written as a sum of positive squares in 10 ways, for example, as 435389956 + 694955044 = 20866^2 + 26362^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1130345000.

It is not an unprimeable number, because it can be changed into a prime (1130345009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 904376 + ... + 905624.

Almost surely, 21130345000 is an apocalyptic number.

1130345000 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 1130345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332581250).

1130345000 is an abundant number, since it is smaller than the sum of its proper divisors (1534817500).

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

1130345000 is a wasteful number, since it uses less digits than its factorization.

1130345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1130345000 is about 33620.6038018356. The cubic root of 1130345000 is about 1041.6864280695.

Adding to 1130345000 its reverse (5430311), we get a palindrome (1135775311).

The spelling of 1130345000 in words is "one billion, one hundred thirty million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 625 724 905 1000 1249 1250 1448 1810 2498 2500 3620 4525 4996 5000 6245 7240 9050 9992 12490 18100 22625 24980 31225 36200 45250 49960 62450 90500 113125 124900 156125 181000 226069 226250 249800 312250 452138 452500 624500 780625 904276 905000 1130345 1249000 1561250 1808552 2260690 3122500 4521380 5651725 6245000 9042760 11303450 22606900 28258625 45213800 56517250 113034500 141293125 226069000 282586250 565172500 1130345000