Search a number
-
+
14871240 = 23325101409
BaseRepresentation
bin111000101110…
…101011001000
31000222112111200
4320232223020
512301334430
61250424200
7240255246
oct70565310
930875450
1014871240
118437a8a
124b92060
133108b67
141d91796
15148b460
hexe2eac8

14871240 has 96 divisors (see below), whose sum is σ = 48929400. Its totient is φ = 3916800.

The previous prime is 14871211. The next prime is 14871257. The reversal of 14871240 is 4217841.

14871240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14791716 + 79524 = 3846^2 + 282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36156 + ... + 36564.

Almost surely, 214871240 is an apocalyptic number.

14871240 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 14871240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24464700).

14871240 is an abundant number, since it is smaller than the sum of its proper divisors (34058160).

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

14871240 is a wasteful number, since it uses less digits than its factorization.

14871240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14871240 is about 3856.3246751279. The cubic root of 14871240 is about 245.9135131228.

The spelling of 14871240 in words is "fourteen million, eight hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 409 505 606 808 818 909 1010 1212 1227 1515 1636 1818 2020 2045 2424 2454 3030 3272 3636 3681 4040 4090 4545 4908 6060 6135 7272 7362 8180 9090 9816 12120 12270 14724 16360 18180 18405 24540 29448 36360 36810 41309 49080 73620 82618 123927 147240 165236 206545 247854 330472 371781 413090 495708 619635 743562 826180 991416 1239270 1487124 1652360 1858905 2478540 2974248 3717810 4957080 7435620 14871240