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14134500 = 223453349
BaseRepresentation
bin110101111010…
…110011100100
3222121002220000
4311322303210
512104301000
61222541300
7231066312
oct65726344
928532800
1014134500
117a84506
124897830
132c0b713
141c3d0b2
151393000
hexd7ace4

14134500 has 120 divisors (see below), whose sum is σ = 46246200. Its totient is φ = 3758400.

The previous prime is 14134459. The next prime is 14134511. The reversal of 14134500 is 543141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 116964 + 14017536 = 342^2 + 3744^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40326 + ... + 40674.

It is an arithmetic number, because the mean of its divisors is an integer number (385385).

It is a vampire number, since it can be written as 31414500 (with its own digits).

Almost surely, 214134500 is an apocalyptic number.

14134500 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 14134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23123100).

14134500 is an abundant number, since it is smaller than the sum of its proper divisors (32111700).

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

14134500 is a wasteful number, since it uses less digits than its factorization.

14134500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14134500 is about 3759.5877433570. The cubic root of 14134500 is about 241.7835872339.

Adding to 14134500 its reverse (543141), we get a palindrome (14677641).

The spelling of 14134500 in words is "fourteen million, one hundred thirty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 349 375 405 450 500 540 675 698 750 810 900 1047 1125 1350 1396 1500 1620 1745 2025 2094 2250 2700 3141 3375 3490 4050 4188 4500 5235 6282 6750 6980 8100 8725 9423 10125 10470 12564 13500 15705 17450 18846 20250 20940 26175 28269 31410 34900 37692 40500 43625 47115 52350 56538 62820 78525 87250 94230 104700 113076 130875 141345 157050 174500 188460 235575 261750 282690 314100 392625 471150 523500 565380 706725 785250 942300 1177875 1413450 1570500 2355750 2826900 3533625 4711500 7067250 14134500