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14971275 = 32521123263
BaseRepresentation
bin111001000111…
…000110001011
31001011121201200
4321013012023
512313040100
61252515243
7241153014
oct71070613
931147650
1014971275
1184a6160
12501bb23
133142557
141dba00b
1514aae00
hexe4718b

14971275 has 72 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 6916800.

The previous prime is 14971261. The next prime is 14971277. The reversal of 14971275 is 57217941.

It is a happy number.

14971275 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14971275 - 213 = 14963083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14971277) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56794 + ... + 57056.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 214971275 is an apocalyptic number.

14971275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14971275 is an abundant number, since it is smaller than the sum of its proper divisors (15669621).

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

14971275 is a wasteful number, since it uses less digits than its factorization.

14971275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 14971275 is about 3869.2731875638. The cubic root of 14971275 is about 246.4636802980.

It can be divided in two parts, 1497 and 1275, that added together give a palindrome (2772).

The spelling of 14971275 in words is "fourteen million, nine hundred seventy-one thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 69 75 99 115 165 207 225 253 263 275 345 495 575 759 789 825 1035 1265 1315 1725 2277 2367 2475 2893 3795 3945 5175 6049 6325 6575 8679 11385 11835 14465 18147 18975 19725 26037 30245 43395 54441 56925 59175 66539 72325 90735 130185 151225 199617 216975 272205 332695 453675 598851 650925 998085 1361025 1663475 2994255 4990425 14971275