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14041000 = 235319739
BaseRepresentation
bin110101100011…
…111110101000
3222102100122001
4311203332220
512043303000
61220540344
7230226601
oct65437650
928370561
1014041000
117a20236
1248516b4
132ba7cac
141c16da8
15137546a
hexd63fa8

14041000 has 64 divisors (see below), whose sum is σ = 34632000. Its totient is φ = 5313600.

The previous prime is 14040991. The next prime is 14041003. The reversal of 14041000 is 14041.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (14041003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18631 + ... + 19369.

It is an arithmetic number, because the mean of its divisors is an integer number (541125).

Almost surely, 214041000 is an apocalyptic number.

14041000 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 14041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316000).

14041000 is an abundant number, since it is smaller than the sum of its proper divisors (20591000).

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

14041000 is a wasteful number, since it uses less digits than its factorization.

14041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14041000 is about 3747.1322367912. The cubic root of 14041000 is about 241.2492729089.

Adding to 14041000 its reverse (14041), we get a palindrome (14055041).

14041000 divided by its reverse (14041) gives a cube (1000 = 103).

The spelling of 14041000 in words is "fourteen million, forty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 739 760 950 1000 1478 1900 2375 2956 3695 3800 4750 5912 7390 9500 14041 14780 18475 19000 28082 29560 36950 56164 70205 73900 92375 112328 140410 147800 184750 280820 351025 369500 561640 702050 739000 1404100 1755125 2808200 3510250 7020500 14041000