Search a number
-
+
14457432 = 23311232381
BaseRepresentation
bin110111001001…
…101001011000
31000012111212110
4313021221120
512200114212
61233512320
7233612643
oct67115130
930174773
1014457432
1181850a0
124a126a0
132cc26c2
141cc4a5a
151408a3c
hexdc9a58

14457432 has 64 divisors (see below), whose sum is σ = 41160960. Its totient is φ = 4188800.

The previous prime is 14457413. The next prime is 14457449. The reversal of 14457432 is 23475441.

14457432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14457432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4882 + ... + 7262.

It is an arithmetic number, because the mean of its divisors is an integer number (643140).

Almost surely, 214457432 is an apocalyptic number.

14457432 is a gapful number since it is divisible by the number (12) 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 14457432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20580480).

14457432 is an abundant number, since it is smaller than the sum of its proper divisors (26703528).

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

14457432 is a wasteful number, since it uses less digits than its factorization.

14457432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2420 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 14457432 is about 3802.2929923929. The cubic root of 14457432 is about 243.6110887664.

Subtracting 14457432 from its reverse (23475441), we obtain a square (9018009 = 30032).

It can be divided in two parts, 14 and 457432, that added together give a triangular number (457446 = T956).

The spelling of 14457432 in words is "fourteen million, four hundred fifty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 2381 3036 4762 6072 7143 9524 14286 19048 26191 28572 52382 54763 57144 78573 104764 109526 157146 164289 209528 219052 314292 328578 438104 602393 628584 657156 1204786 1314312 1807179 2409572 3614358 4819144 7228716 14457432