Search a number
-
+
14267880 = 23335111201
BaseRepresentation
bin110110011011…
…010111101000
3222211212212000
4312123113220
512123033010
61225451000
7232163214
oct66332750
928755760
1014267880
118065740
124940a60
132c57343
141c75944
1513bc7c0
hexd9b5e8

14267880 has 128 divisors (see below), whose sum is σ = 51926400. Its totient is φ = 3456000.

The previous prime is 14267867. The next prime is 14267881. The reversal of 14267880 is 8876241.

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

It is not an unprimeable number, because it can be changed into a prime (14267881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11280 + ... + 12480.

It is an arithmetic number, because the mean of its divisors is an integer number (405675).

Almost surely, 214267880 is an apocalyptic number.

14267880 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 14267880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25963200).

14267880 is an abundant number, since it is smaller than the sum of its proper divisors (37658520).

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

14267880 is a wasteful number, since it uses less digits than its factorization.

14267880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14267880 is about 3777.2847390685. The cubic root of 14267880 is about 242.5417365369.

The spelling of 14267880 in words is "fourteen million, two hundred sixty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1201 1320 1485 1980 2376 2402 2970 3603 3960 4804 5940 6005 7206 9608 10809 11880 12010 13211 14412 18015 21618 24020 26422 28824 32427 36030 39633 43236 48040 52844 54045 64854 66055 72060 79266 86472 105688 108090 118899 129708 132110 144120 158532 162135 198165 216180 237798 259416 264220 317064 324270 356697 396330 432360 475596 528440 594495 648540 713394 792660 951192 1188990 1297080 1426788 1585320 1783485 2377980 2853576 3566970 4755960 7133940 14267880