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14113500 = 22353972
BaseRepresentation
bin110101110101…
…101011011100
3222120001002020
4311311223130
512103113000
61222300140
7230651142
oct65655334
928501066
1014113500
117a6a755
124887650
132c01cab
141c35592
15138bba0
hexd75adc

14113500 has 72 divisors (see below), whose sum is σ = 41526576. Its totient is φ = 3724800.

The previous prime is 14113487. The next prime is 14113501. The reversal of 14113500 is 531141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14113500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113501) 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, 145452 + ... + 145548.

It is an arithmetic number, because the mean of its divisors is an integer number (576758).

Almost surely, 214113500 is an apocalyptic number.

14113500 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 14113500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20763288).

14113500 is an abundant number, since it is smaller than the sum of its proper divisors (27413076).

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

14113500 is an equidigital number, since it uses as much as digits as its factorization.

14113500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 14113500 is about 3756.7938458212. The cubic root of 14113500 is about 241.6637864632.

Multiplying 14113500 by its sum of digits (15), we get a square (211702500 = 145502).

14113500 divided by its sum of digits (15) gives a square (940900 = 9702).

Multiplying 14113500 by its product of nonzero digits (60), we get a square (846810000 = 291002).

14113500 divided by its product of nonzero digits (60) gives a square (235225 = 4852).

Adding to 14113500 its reverse (531141), we get a palindrome (14644641).

The spelling of 14113500 in words is "fourteen million, one hundred thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 125 150 194 250 291 300 375 388 485 500 582 750 970 1164 1455 1500 1940 2425 2910 4850 5820 7275 9409 9700 12125 14550 18818 24250 28227 29100 36375 37636 47045 48500 56454 72750 94090 112908 141135 145500 188180 235225 282270 470450 564540 705675 940900 1176125 1411350 2352250 2822700 3528375 4704500 7056750 14113500