Search a number
-
+
14257836 = 2233971361
BaseRepresentation
bin110110011000…
…111010101100
3222211101002000
4312120322230
512122222321
61225332300
7232122015
oct66307254
928741060
1014257836
11805913a
124937090
132c528b8
141c7200c
1513b9826
hexd98eac

14257836 has 48 divisors (see below), whose sum is σ = 37373280. Its totient is φ = 4700160.

The previous prime is 14257819. The next prime is 14257843. The reversal of 14257836 is 63875241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14257836.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9796 + ... + 11156.

It is an arithmetic number, because the mean of its divisors is an integer number (778610).

Almost surely, 214257836 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 14257836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686640).

14257836 is an abundant number, since it is smaller than the sum of its proper divisors (23115444).

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

14257836 is a wasteful number, since it uses less digits than its factorization.

14257836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 14257836 is about 3775.9549785452. The cubic root of 14257836 is about 242.4848100451.

It can be divided in two parts, 1425 and 7836, that added together give a cube (9261 = 213).

The spelling of 14257836 in words is "fourteen million, two hundred fifty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1361 1746 2619 2722 3492 4083 5238 5444 8166 10476 12249 16332 24498 36747 48996 73494 132017 146988 264034 396051 528068 792102 1188153 1584204 2376306 3564459 4752612 7128918 14257836