Search a number
-
+
14909895 = 32571113331
BaseRepresentation
bin111000111000…
…000111000111
31001001111112100
4320320013013
512304104040
61251323143
7240506040
oct70700707
931044470
1014909895
118464030
124bb04b3
133120630
141da18c7
151497b30
hexe381c7

14909895 has 96 divisors (see below), whose sum is σ = 34804224. Its totient is φ = 5702400.

The previous prime is 14909887. The next prime is 14909897. The reversal of 14909895 is 59890941.

14909895 is nontrivially palindromic in base 2 and base 8.

14909895 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14909895 - 23 = 14909887 is a prime.

It is a super-3 number, since 3×149098953 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14909895.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14909897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44880 + ... + 45210.

It is an arithmetic number, because the mean of its divisors is an integer number (362544).

Almost surely, 214909895 is an apocalyptic number.

14909895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14909895 is an abundant number, since it is smaller than the sum of its proper divisors (19894329).

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

14909895 is a wasteful number, since it uses less digits than its factorization.

14909895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 14909895 is about 3861.3333189457. Note that the first 4 decimals coincide. The cubic root of 14909895 is about 246.1263974676.

It can be divided in two parts, 14 and 909895, that added together give a palindrome (909909).

The spelling of 14909895 in words is "fourteen million, nine hundred nine thousand, eight hundred ninety-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 273 315 331 385 429 455 495 585 693 715 819 993 1001 1155 1287 1365 1655 2145 2317 2979 3003 3465 3641 4095 4303 4965 5005 6435 6951 9009 10923 11585 12909 14895 15015 18205 20853 21515 25487 30121 32769 34755 38727 45045 47333 54615 64545 76461 90363 104265 127435 141999 150605 163845 193635 229383 236665 271089 331331 382305 425997 451815 709995 993993 1146915 1355445 1656655 2129985 2981979 4969965 14909895