Search a number
-
+
1123530200 = 2352131932239
BaseRepresentation
bin100001011110111…
…1011010111011000
32220022010020200122
41002331323113120
54300110431300
6303253052412
736561564152
oct10275732730
92808106618
101123530200
11527226961
12274327108
1314b9cbb90
14a9305ad2
1568982c85
hex42f7b5d8

1123530200 has 96 divisors (see below), whose sum is σ = 2828985600. Its totient is φ = 412508160.

The previous prime is 1123530167. The next prime is 1123530217. The reversal of 1123530200 is 20353211.

It is a super-2 number, since 2×11235302002 = 2524640220624080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500681 + ... + 502919.

It is an arithmetic number, because the mean of its divisors is an integer number (29468600).

Almost surely, 21123530200 is an apocalyptic number.

1123530200 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 1123530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414492800).

1123530200 is an abundant number, since it is smaller than the sum of its proper divisors (1705455400).

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

1123530200 is a wasteful number, since it uses less digits than its factorization.

1123530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2452 counting only the distinct ones).

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

The square root of 1123530200 is about 33519.1020166114. The cubic root of 1123530200 is about 1039.5887797309.

Adding to 1123530200 its reverse (20353211), we get a palindrome (1143883411).

The spelling of 1123530200 in words is "one billion, one hundred twenty-three million, five hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 193 200 260 325 386 520 650 772 965 1300 1544 1930 2239 2509 2600 3860 4478 4825 5018 7720 8956 9650 10036 11195 12545 17912 19300 20072 22390 25090 29107 38600 44780 50180 55975 58214 62725 89560 100360 111950 116428 125450 145535 223900 232856 250900 291070 432127 447800 501800 582140 727675 864254 1164280 1455350 1728508 2160635 2910700 3457016 4321270 5617651 5821400 8642540 10803175 11235302 17285080 21606350 22470604 28088255 43212700 44941208 56176510 86425400 112353020 140441275 224706040 280882550 561765100 1123530200