Search a number
-
+
14097000 = 2335337127
BaseRepresentation
bin110101110001…
…101001101000
3222112012110010
4311301221220
512102101000
61222051520
7230552061
oct65615150
928465403
1014097000
117a59315
124879ba0
132bc7628
141c2d568
151386d50
hexd71a68

14097000 has 128 divisors (see below), whose sum is σ = 45527040. Its totient is φ = 3628800.

The previous prime is 14096983. The next prime is 14097007. The reversal of 14097000 is 79041.

14097000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14097007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110937 + ... + 111063.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 214097000 is an apocalyptic number.

14097000 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 14097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763520).

14097000 is an abundant number, since it is smaller than the sum of its proper divisors (31430040).

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

14097000 is a wasteful number, since it uses less digits than its factorization.

14097000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 14097000 is about 3754.5971821222. The cubic root of 14097000 is about 241.5695738916.

The spelling of 14097000 in words is "fourteen million, ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 127 148 150 185 200 222 250 254 296 300 370 375 381 444 500 508 555 600 635 740 750 762 888 925 1000 1016 1110 1270 1480 1500 1524 1850 1905 2220 2540 2775 3000 3048 3175 3700 3810 4440 4625 4699 5080 5550 6350 7400 7620 9250 9398 9525 11100 12700 13875 14097 15240 15875 18500 18796 19050 22200 23495 25400 27750 28194 31750 37000 37592 38100 46990 47625 55500 56388 63500 70485 76200 93980 95250 111000 112776 117475 127000 140970 187960 190500 234950 281940 352425 381000 469900 563880 587375 704850 939800 1174750 1409700 1762125 2349500 2819400 3524250 4699000 7048500 14097000