Search a number
-
+
14314932 = 223231101127
BaseRepresentation
bin110110100110…
…110110110100
3222221021101200
4312212312310
512131034212
61230452500
7232450332
oct66466664
928837350
1014314932
118098025
124964130
132c72898
141c88b52
1513cb6dc
hexda6db4

14314932 has 72 divisors (see below), whose sum is σ = 38019072. Its totient is φ = 4536000.

The previous prime is 14314919. The next prime is 14314939. The reversal of 14314932 is 23941341.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14314896 and 14314905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112653 + ... + 112779.

Almost surely, 214314932 is an apocalyptic number.

14314932 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 14314932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009536).

14314932 is an abundant number, since it is smaller than the sum of its proper divisors (23704140).

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

14314932 is a wasteful number, since it uses less digits than its factorization.

14314932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 14314932 is about 3783.5078961197. The cubic root of 14314932 is about 242.8080585593.

The spelling of 14314932 in words is "fourteen million, three hundred fourteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 127 186 202 254 279 303 372 381 404 508 558 606 762 909 1116 1143 1212 1524 1818 2286 3131 3636 3937 4572 6262 7874 9393 11811 12524 12827 15748 18786 23622 25654 28179 35433 37572 38481 47244 51308 56358 70866 76962 112716 115443 141732 153924 230886 397637 461772 795274 1192911 1590548 2385822 3578733 4771644 7157466 14314932