Search a number
-
+
14405148 = 2233831607
BaseRepresentation
bin110110111100…
…111000011100
31000002212011000
4312330320130
512141431043
61232430300
7233304342
oct66747034
930085130
1014405148
11814988a
1249a8390
132ca4974
141cad992
1513e82d3
hexdbce1c

14405148 has 48 divisors (see below), whose sum is σ = 37820160. Its totient is φ = 4740912.

The previous prime is 14405147. The next prime is 14405159. The reversal of 14405148 is 84150441.

It is a happy number.

14405148 is a `hidden beast` number, since 144 + 0 + 514 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14405147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8161 + ... + 9767.

It is an arithmetic number, because the mean of its divisors is an integer number (787920).

Almost surely, 214405148 is an apocalyptic number.

14405148 is a gapful number since it is divisible by the number (18) 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 14405148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910080).

14405148 is an abundant number, since it is smaller than the sum of its proper divisors (23415012).

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

14405148 is a wasteful number, since it uses less digits than its factorization.

14405148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 14405148 is about 3795.4114401472. The cubic root of 14405148 is about 243.3170681983.

Adding to 14405148 its reverse (84150441), we get a palindrome (98555589).

The spelling of 14405148 in words is "fourteen million, four hundred five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 1607 2241 2988 3214 4482 4821 6428 8964 9642 14463 19284 28926 43389 57852 86778 133381 173556 266762 400143 533524 800286 1200429 1600572 2400858 3601287 4801716 7202574 14405148