Search a number
-
+
14267148 = 22371797103
BaseRepresentation
bin110110011011…
…001100001100
3222211211211220
4312123030030
512123022043
61225443340
7232161120
oct66331414
928754756
1014267148
118065135
124940550
132c56bcc
141c75580
1513bc483
hexd9b30c

14267148 has 96 divisors (see below), whose sum is σ = 41094144. Its totient is φ = 3760128.

The previous prime is 14267129. The next prime is 14267167. The reversal of 14267148 is 84176241.

14267148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14267129) and next prime (14267167).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138465 + ... + 138567.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 214267148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14267148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072).

14267148 is an abundant number, since it is smaller than the sum of its proper divisors (26826996).

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

14267148 is a wasteful number, since it uses less digits than its factorization.

14267148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 14267148 is about 3777.1878428270. The cubic root of 14267148 is about 242.5375886750.

The spelling of 14267148 in words is "fourteen million, two hundred sixty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 97 102 103 119 194 204 206 238 291 309 357 388 412 476 582 618 679 714 721 1164 1236 1358 1428 1442 1649 1751 2037 2163 2716 2884 3298 3502 4074 4326 4947 5253 6596 7004 8148 8652 9894 9991 10506 11543 12257 19788 19982 21012 23086 24514 29973 34629 36771 39964 46172 49028 59946 69258 69937 73542 119892 138516 139874 147084 169847 209811 279748 339694 419622 509541 679388 839244 1019082 1188929 2038164 2377858 3566787 4755716 7133574 14267148