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14361040 = 245892017
BaseRepresentation
bin110110110010…
…000111010000
31000000121122101
4312302013100
512134023130
61231450144
7233031631
oct66620720
930017571
1014361040
118119731
124986954
132c8a875
141c9b888
1513da1ca
hexdb21d0

14361040 has 40 divisors (see below), whose sum is σ = 33781320. Its totient is φ = 5677056.

The previous prime is 14361037. The next prime is 14361041. The reversal of 14361040 is 4016341.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1658944 + 12702096 = 1288^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14360999 and 14361017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14361041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6112 + ... + 8128.

It is an arithmetic number, because the mean of its divisors is an integer number (844533).

Almost surely, 214361040 is an apocalyptic number.

14361040 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 14361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890660).

14361040 is an abundant number, since it is smaller than the sum of its proper divisors (19420280).

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

14361040 is a wasteful number, since it uses less digits than its factorization.

14361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 14361040 is about 3789.5962845665. The cubic root of 14361040 is about 243.0684718445.

Adding to 14361040 its reverse (4016341), we get a palindrome (18377381).

The spelling of 14361040 in words is "fourteen million, three hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 2017 3560 4034 7120 8068 10085 16136 20170 32272 40340 80680 161360 179513 359026 718052 897565 1436104 1795130 2872208 3590260 7180520 14361040