Search a number
-
+
14627440 = 245672729
BaseRepresentation
bin110111110011…
…001001110000
31000112011002001
4313303021300
512221034230
61241303344
7235221412
oct67631160
930464061
1014627440
1182908a3
124a94b54
133051bb9
141d2a9b2
15143e0ca
hexdf3270

14627440 has 40 divisors (see below), whose sum is σ = 34529040. Its totient is φ = 5761536.

The previous prime is 14627423. The next prime is 14627449. The reversal of 14627440 is 4472641.

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 = 14627399 and 14627408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14627449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3996 + ... + 6724.

It is an arithmetic number, because the mean of its divisors is an integer number (863226).

Almost surely, 214627440 is an apocalyptic number.

14627440 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 14627440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264520).

14627440 is an abundant number, since it is smaller than the sum of its proper divisors (19901600).

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

14627440 is a wasteful number, since it uses less digits than its factorization.

14627440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 14627440 is about 3824.5836374696. The cubic root of 14627440 is about 244.5622615404.

The spelling of 14627440 in words is "fourteen million, six hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 2729 5360 5458 10916 13645 21832 27290 43664 54580 109160 182843 218320 365686 731372 914215 1462744 1828430 2925488 3656860 7313720 14627440