Search a number
-
+
14312106 = 2331072477
BaseRepresentation
bin110110100110…
…001010101010
3222221010112000
4312212022222
512130441411
61230431430
7232436154
oct66461252
928833460
1014312106
118095996
124962576
132c71503
141c87ad4
1513ca956
hexda62aa

14312106 has 32 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 4724208.

The previous prime is 14312101. The next prime is 14312107. The reversal of 14312106 is 60121341.

It is a happy number.

14312106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14312101) 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, 4540 + ... + 7016.

It is an arithmetic number, because the mean of its divisors is an integer number (1003590).

Almost surely, 214312106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14312106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

14312106 is an abundant number, since it is smaller than the sum of its proper divisors (17802774).

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

14312106 is a wasteful number, since it uses less digits than its factorization.

14312106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14312106 is about 3783.1344147413. The cubic root of 14312106 is about 242.7920794234.

Adding to 14312106 its reverse (60121341), we get a palindrome (74433447).

The spelling of 14312106 in words is "fourteen million, three hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2477 2889 4954 5778 7431 14862 22293 44586 66879 133758 265039 530078 795117 1590234 2385351 4770702 7156053 14312106