Search a number
-
+
14146432 = 272937103
BaseRepresentation
bin110101111101…
…101110000000
3222121201020221
4311331232000
512110141212
61223112424
7231146146
oct65755600
928551227
1014146432
117a92473
1248a2714
132c13c91
141c43596
151396807
hexd7db80

14146432 has 64 divisors (see below), whose sum is σ = 30232800. Its totient is φ = 6580224.

The previous prime is 14146427. The next prime is 14146439. The reversal of 14146432 is 23464141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14146397 and 14146406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146439) 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, 137293 + ... + 137395.

Almost surely, 214146432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116400).

14146432 is an abundant number, since it is smaller than the sum of its proper divisors (16086368).

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

14146432 is a wasteful number, since it uses less digits than its factorization.

14146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 14146432 is about 3761.1742847148. The cubic root of 14146432 is about 241.8516040330.

The spelling of 14146432 in words is "fourteen million, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 103 116 128 148 206 232 296 412 464 592 824 928 1073 1184 1648 1856 2146 2368 2987 3296 3712 3811 4292 4736 5974 6592 7622 8584 11948 13184 15244 17168 23896 30488 34336 47792 60976 68672 95584 110519 121952 137344 191168 221038 243904 382336 442076 487808 884152 1768304 3536608 7073216 14146432