Search a number
-
+
14395194 = 232112329109
BaseRepresentation
bin110110111010…
…011100111010
31000002100111100
4312322130322
512141121234
61232312230
7233233332
oct66723472
930070440
1014395194
118142360
1249a2676
132ca0288
141caa0c2
1513e5399
hexdba73a

14395194 has 96 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 3991680.

The previous prime is 14395187. The next prime is 14395201. The reversal of 14395194 is 49159341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14395187) and next prime (14395201).

It is a super-2 number, since 2×143951942 = 414443220595272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (19440) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132012 + ... + 132120.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 214395194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14395194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

14395194 is an abundant number, since it is smaller than the sum of its proper divisors (22670406).

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

14395194 is a wasteful number, since it uses less digits than its factorization.

14395194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 14395194 is about 3794.0998932553. The cubic root of 14395194 is about 243.2610110124.

The spelling of 14395194 in words is "fourteen million, three hundred ninety-five thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 23 29 33 46 58 66 69 87 99 109 138 174 198 207 218 253 261 319 327 414 506 522 638 654 667 759 957 981 1199 1334 1518 1914 1962 2001 2277 2398 2507 2871 3161 3597 4002 4554 5014 5742 6003 6322 7194 7337 7521 9483 10791 12006 14674 15042 18966 21582 22011 22563 27577 28449 34771 44022 45126 55154 56898 66033 69542 72703 82731 104313 132066 145406 165462 208626 218109 248193 312939 436218 496386 625878 654327 799733 1308654 1599466 2399199 4798398 7197597 14395194