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1130340200 = 2352111730223
BaseRepresentation
bin100001101011111…
…1001111101101000
32220202221020020212
41003113321331220
54303331341300
6304055040252
740003506323
oct10327717550
92822836225
101130340200
11530058360
12276670088
13150244772
14aa1997ba
156937a935
hex435f9f68

1130340200 has 96 divisors (see below), whose sum is σ = 3035698560. Its totient is φ = 386841600.

The previous prime is 1130340161. The next prime is 1130340209. The reversal of 1130340200 is 20430311.

It is not an unprimeable number, because it can be changed into a prime (1130340209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22289 + ... + 52511.

It is an arithmetic number, because the mean of its divisors is an integer number (31621860).

Almost surely, 21130340200 is an apocalyptic number.

1130340200 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 1130340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517849280).

1130340200 is an abundant number, since it is smaller than the sum of its proper divisors (1905358360).

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

1130340200 is a wasteful number, since it uses less digits than its factorization.

1130340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30267 (or 30258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1130340200 is about 33620.5324169621. The cubic root of 1130340200 is about 1041.6849535634.

Adding to 1130340200 its reverse (20430311), we get a palindrome (1150770511).

The spelling of 1130340200 in words is "one billion, one hundred thirty million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 30223 37400 60446 120892 151115 241784 302230 332453 513791 604460 664906 755575 1027582 1208920 1329812 1511150 1662265 2055164 2568955 2659624 3022300 3324530 4110328 5137910 5651701 6044600 6649060 8311325 10275820 11303402 12844775 13298120 16622650 20551640 22606804 25689550 28258505 33245300 45213608 51379100 56517010 66490600 102758200 113034020 141292525 226068040 282585050 565170100 1130340200