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14115000 = 23354941
BaseRepresentation
bin110101110110…
…000010111000
3222120010010210
4311312002320
512103140000
61222311120
7230655414
oct65660270
928503123
1014115000
117a70899
1248884a0
132c02893
141c35d44
15138c350
hexd760b8

14115000 has 80 divisors (see below), whose sum is σ = 44142120. Its totient is φ = 3760000.

The previous prime is 14114977. The next prime is 14115001. The reversal of 14115000 is 51141.

It is a happy number.

14115000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14530 + ... + 15470.

Almost surely, 214115000 is an apocalyptic number.

14115000 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 14115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22071060).

14115000 is an abundant number, since it is smaller than the sum of its proper divisors (30027120).

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

14115000 is an equidigital number, since it uses as much as digits as its factorization.

14115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 14115000 is about 3756.9934788338. The cubic root of 14115000 is about 241.6723476006.

Adding to 14115000 its reverse (51141), we get a palindrome (14166141).

The spelling of 14115000 in words is "fourteen million, one hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 941 1000 1250 1500 1875 1882 2500 2823 3000 3750 3764 4705 5000 5646 7500 7528 9410 11292 14115 15000 18820 22584 23525 28230 37640 47050 56460 70575 94100 112920 117625 141150 188200 235250 282300 352875 470500 564600 588125 705750 941000 1176250 1411500 1764375 2352500 2823000 3528750 4705000 7057500 14115000