Search a number
-
+
1134160200 = 233252751839
BaseRepresentation
bin100001110011001…
…1110100101001000
32221001010022022100
41003212132211020
54310321111300
6304312553400
740051126335
oct10346364510
92831108270
101134160200
11532227388
122779b2860
13150c81414
14aa8b198c
1569882700
hex4399e948

1134160200 has 144 divisors (see below), whose sum is σ = 3818505600. Its totient is φ = 301680000.

The previous prime is 1134160187. The next prime is 1134160201. The reversal of 1134160200 is 20614311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1134160201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1351381 + ... + 1352219.

It is an arithmetic number, because the mean of its divisors is an integer number (26517400).

Almost surely, 21134160200 is an apocalyptic number.

1134160200 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 1134160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909252800).

1134160200 is an abundant number, since it is smaller than the sum of its proper divisors (2684345400).

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

1134160200 is a wasteful number, since it uses less digits than its factorization.

1134160200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1134160200 is about 33677.2950220174. The cubic root of 1134160200 is about 1042.8570969270.

Adding to 1134160200 its reverse (20614311), we get a palindrome (1154774511).

The spelling of 1134160200 in words is "one billion, one hundred thirty-four million, one hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 751 839 900 1502 1678 1800 2253 2517 3004 3356 3755 4195 4506 5034 6008 6712 6759 7510 7551 8390 9012 10068 11265 12585 13518 15020 15102 16780 18024 18775 20136 20975 22530 25170 27036 30040 30204 33560 33795 37550 37755 41950 45060 50340 54072 56325 60408 62925 67590 75100 75510 83900 90120 100680 112650 125850 135180 150200 151020 167800 168975 188775 225300 251700 270360 302040 337950 377550 450600 503400 630089 675900 755100 1260178 1351800 1510200 1890267 2520356 3150445 3780534 5040712 5670801 6300890 7561068 9451335 11341602 12601780 15122136 15752225 18902670 22683204 25203560 28354005 31504450 37805340 45366408 47256675 56708010 63008900 75610680 94513350 113416020 126017800 141770025 189026700 226832040 283540050 378053400 567080100 1134160200