Search a number
-
+
14012040 = 2335722383
BaseRepresentation
bin110101011100…
…111010001000
3222100212220110
4311130322020
512041341130
61220154320
7230046300
oct65347210
928325813
1014012040
117a004a9
1248389a0
132b97a63
141c0a600
15136bab0
hexd5ce88

14012040 has 96 divisors (see below), whose sum is σ = 48919680. Its totient is φ = 3201408.

The previous prime is 14012039. The next prime is 14012041. The reversal of 14012040 is 4021041.

14012040 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14012039) and next prime (14012041).

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

14012040 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012041) 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, 4689 + ... + 7071.

It is an arithmetic number, because the mean of its divisors is an integer number (509580).

Almost surely, 214012040 is an apocalyptic number.

14012040 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 14012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24459840).

14012040 is an abundant number, since it is smaller than the sum of its proper divisors (34907640).

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

14012040 is a wasteful number, since it uses less digits than its factorization.

14012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14012040 is about 3743.2659536827. The cubic root of 14012040 is about 241.0832973659.

Adding to 14012040 its reverse (4021041), we get a palindrome (18033081).

Subtracting from 14012040 its reverse (4021041), we obtain a palindrome (9990999).

The spelling of 14012040 in words is "fourteen million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2383 2940 4766 5880 7149 9532 11915 14298 16681 19064 23830 28596 33362 35745 47660 50043 57192 66724 71490 83405 95320 100086 116767 133448 142980 166810 200172 233534 250215 285960 333620 350301 400344 467068 500430 583835 667240 700602 934136 1000860 1167670 1401204 1751505 2001720 2335340 2802408 3503010 4670680 7006020 14012040