Search a number
-
+
14769942 = 2311593793
BaseRepresentation
bin111000010101…
…111100010110
31000210101112220
4320111330112
512240114232
61244323210
7236354025
oct70257426
930711486
1014769942
118378970
124b43506
1330a1a15
141d668bc
15146b42c
hexe15f16

14769942 has 32 divisors (see below), whose sum is σ = 32780160. Its totient is φ = 4398720.

The previous prime is 14769907. The next prime is 14769947. The reversal of 14769942 is 24996741.

It is a super-3 number, since 3×147699423 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14769894 and 14769903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14769947) 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 15 ways as a sum of consecutive naturals, for example, 1998 + ... + 5790.

It is an arithmetic number, because the mean of its divisors is an integer number (1024380).

Almost surely, 214769942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14769942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390080).

14769942 is an abundant number, since it is smaller than the sum of its proper divisors (18010218).

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

14769942 is a wasteful number, since it uses less digits than its factorization.

14769942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868.

The product of its digits is 108864, while the sum is 42.

The square root of 14769942 is about 3843.1682242650. The cubic root of 14769942 is about 245.3538798331.

It can be divided in two parts, 147699 and 42, that added together give a palindrome (147741).

The spelling of 14769942 in words is "fourteen million, seven hundred sixty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1947 3793 3894 7586 11379 22758 41723 83446 125169 223787 250338 447574 671361 1342722 2461657 4923314 7384971 14769942