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14147874 = 23213103587
BaseRepresentation
bin110101111110…
…000100100010
3222121210020100
4311332010202
512110212444
61223123230
7231153306
oct65760442
928553210
1014147874
117a93564
1248a3516
132c14830
141c43d06
151396e69
hexd7e122

14147874 has 48 divisors (see below), whose sum is σ = 33388992. Its totient is φ = 4303584.

The previous prime is 14147867. The next prime is 14147879. The reversal of 14147874 is 47874141.

14147874 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 a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14147879) 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, 23809 + ... + 24395.

It is an arithmetic number, because the mean of its divisors is an integer number (695604).

Almost surely, 214147874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14147874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694496).

14147874 is an abundant number, since it is smaller than the sum of its proper divisors (19241118).

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

14147874 is a wasteful number, since it uses less digits than its factorization.

14147874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 708 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 14147874 is about 3761.3659752808. The cubic root of 14147874 is about 241.8598213739.

The spelling of 14147874 in words is "fourteen million, one hundred forty-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 587 618 927 1174 1339 1761 1854 2678 3522 4017 5283 7631 8034 10566 12051 15262 22893 24102 45786 60461 68679 120922 137358 181383 362766 544149 785993 1088298 1571986 2357979 4715958 7073937 14147874