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1134014200 = 2352111094729
BaseRepresentation
bin100001110010111…
…1010111011111000
32221000211220000221
41003211322323320
54310301423300
6304305505424
740046650564
oct10345727370
92830756027
101134014200
11532137720
12277942274
13150c2cb27
14aa8746a4
156985431a
hex4397aef8

1134014200 has 96 divisors (see below), whose sum is σ = 2903274000. Its totient is φ = 408499200.

The previous prime is 1134014197. The next prime is 1134014209. The reversal of 1134014200 is 24104311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134014209) 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, 237436 + ... + 242164.

Almost surely, 21134014200 is an apocalyptic number.

1134014200 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 1134014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451637000).

1134014200 is an abundant number, since it is smaller than the sum of its proper divisors (1769259800).

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

1134014200 is a wasteful number, since it uses less digits than its factorization.

1134014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1134014200 is about 33675.1273197296. The cubic root of 1134014200 is about 1042.8123461443.

Adding to 1134014200 its reverse (24104311), we get a palindrome (1158118511).

The spelling of 1134014200 in words is "one billion, one hundred thirty-four million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 200 218 220 275 436 440 545 550 872 1090 1100 1199 2180 2200 2398 2725 4360 4729 4796 5450 5995 9458 9592 10900 11990 18916 21800 23645 23980 29975 37832 47290 47960 52019 59950 94580 104038 118225 119900 189160 208076 236450 239800 260095 416152 472900 515461 520190 945800 1030922 1040380 1300475 2061844 2080760 2577305 2600950 4123688 5154610 5201900 5670071 10309220 10403800 11340142 12886525 20618440 22680284 25773050 28350355 45360568 51546100 56700710 103092200 113401420 141751775 226802840 283503550 567007100 1134014200