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14540112 = 2432372729
BaseRepresentation
bin110111011101…
…110101010000
31000100201021200
4313131311100
512210240422
61235351200
7234405666
oct67356520
930321250
1014540112
118231224
124a52500
133021222
141d06c36
1514232ac
hexdddd50

14540112 has 60 divisors (see below), whose sum is σ = 41807220. Its totient is φ = 4713984.

The previous prime is 14540101. The next prime is 14540153. The reversal of 14540112 is 21104541.

14540112 is a `hidden beast` number, since 14 + 540 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13571856 + 968256 = 3684^2 + 984^2 .

It is a super-2 number, since 2×145401122 = 422829713945088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3964 + ... + 6692.

It is an arithmetic number, because the mean of its divisors is an integer number (696787).

Almost surely, 214540112 is an apocalyptic number.

14540112 is a gapful number since it is divisible by the number (12) 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 14540112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903610).

14540112 is an abundant number, since it is smaller than the sum of its proper divisors (27267108).

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

14540112 is a wasteful number, since it uses less digits than its factorization.

14540112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14540112 is about 3813.1498790370. The cubic root of 14540112 is about 244.0745987079.

Adding to 14540112 its reverse (21104541), we get a palindrome (35644653).

The spelling of 14540112 in words is "fourteen million, five hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 2729 5328 5458 8187 10916 16374 21832 24561 32748 43664 49122 65496 98244 100973 130992 196488 201946 302919 392976 403892 605838 807784 908757 1211676 1615568 1817514 2423352 3635028 4846704 7270056 14540112