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14466540 = 22351123953
BaseRepresentation
bin110111001011…
…110111101100
31000012222100210
4313023313230
512200412130
61234022420
7233651334
oct67136754
930188323
1014466540
118190a20
124a17a10
132cc68aa
141cc80c4
15140b5b0
hexdcbdec

14466540 has 96 divisors (see below), whose sum is σ = 46158336. Its totient is φ = 3351040.

The previous prime is 14466539. The next prime is 14466583. The reversal of 14466540 is 4566441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14466498 and 14466507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14704 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (480816).

Almost surely, 214466540 is an apocalyptic number.

14466540 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 14466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079168).

14466540 is an abundant number, since it is smaller than the sum of its proper divisors (31691796).

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

14466540 is a wasteful number, since it uses less digits than its factorization.

14466540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 14466540 is about 3803.4905021572. The cubic root of 14466540 is about 243.6622353329.

Subtracting from 14466540 its reverse (4566441), we obtain a palindrome (9900099).

The spelling of 14466540 in words is "fourteen million, four hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 953 1012 1265 1380 1518 1906 2530 2859 3036 3795 3812 4765 5060 5718 7590 9530 10483 11436 14295 15180 19060 20966 21919 28590 31449 41932 43838 52415 57180 62898 65757 87676 104830 109595 125796 131514 157245 209660 219190 241109 263028 314490 328785 438380 482218 628980 657570 723327 964436 1205545 1315140 1446654 2411090 2893308 3616635 4822180 7233270 14466540