Search a number
-
+
14268160 = 28571157
BaseRepresentation
bin110110011011…
…011100000000
3222211220020101
4312123130000
512123040120
61225452144
7232164064
oct66333400
928756211
1014268160
118065975
124941054
132c574ca
141c75aa4
1513bc90a
hexd9b700

14268160 has 72 divisors (see below), whose sum is σ = 34878816. Its totient is φ = 5591040.

The previous prime is 14268157. The next prime is 14268161. The reversal of 14268160 is 6186241.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14268161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90802 + ... + 90958.

It is an arithmetic number, because the mean of its divisors is an integer number (484428).

Almost surely, 214268160 is an apocalyptic number.

14268160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17439408).

14268160 is an abundant number, since it is smaller than the sum of its proper divisors (20610656).

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

14268160 is an equidigital number, since it uses as much as digits as its factorization.

14268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 14268160 is about 3777.3218025474. The cubic root of 14268160 is about 242.5433231132.

The spelling of 14268160 in words is "fourteen million, two hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 157 160 256 284 314 320 355 568 628 640 710 785 1136 1256 1280 1420 1570 2272 2512 2840 3140 4544 5024 5680 6280 9088 10048 11147 11360 12560 18176 20096 22294 22720 25120 40192 44588 45440 50240 55735 89176 90880 100480 111470 178352 200960 222940 356704 445880 713408 891760 1426816 1783520 2853632 3567040 7134080 14268160