Search a number
-
+
14381406 = 23213411499
BaseRepresentation
bin110110110111…
…000101011110
31000001122120200
4312313011132
512140201111
61232124330
7233145204
oct66670536
930048520
1014381406
118132a66
1249966a6
132c96c10
141ca5074
1513e1256
hexdb715e

14381406 has 48 divisors (see below), whose sum is σ = 34398000. Its totient is φ = 4314240.

The previous prime is 14381401. The next prime is 14381407. The reversal of 14381406 is 60418341.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14381406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14381401) 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, 8845 + ... + 10343.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 214381406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14381406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199000).

14381406 is an abundant number, since it is smaller than the sum of its proper divisors (20016594).

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

14381406 is a wasteful number, since it uses less digits than its factorization.

14381406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14381406 is about 3792.2824261914. The cubic root of 14381406 is about 243.1833194750.

Adding to 14381406 its reverse (60418341), we get a palindrome (74799747).

The spelling of 14381406 in words is "fourteen million, three hundred eighty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1499 1599 2998 3198 4497 4797 8994 9594 13491 19487 26982 38974 58461 61459 116922 122918 175383 184377 350766 368754 553131 798967 1106262 1597934 2396901 4793802 7190703 14381406