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12141540 = 2232567453
BaseRepresentation
bin101110010100…
…001111100100
3211211212001200
4232110033210
511102012130
61112122500
7205126035
oct56241744
924755050
1012141540
116943134
124096430
132691558
141880a8c
1510ec760
hexb943e4

12141540 has 36 divisors (see below), whose sum is σ = 36829884. Its totient is φ = 3237696.

The previous prime is 12141527. The next prime is 12141541. The reversal of 12141540 is 4514121.

12141540 is a `hidden beast` number, since 121 + 4 + 1 + 540 = 666.

12141540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 9998244 = 1464^2 + 3162^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (12141541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33547 + ... + 33906.

Almost surely, 212141540 is an apocalyptic number.

12141540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141540 is an abundant number, since it is smaller than the sum of its proper divisors (24688344).

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

12141540 is a wasteful number, since it uses less digits than its factorization.

12141540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67468 (or 67463 counting only the distinct ones).

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

The square root of 12141540 is about 3484.4712654863. The cubic root of 12141540 is about 229.8394594870.

Adding to 12141540 its reverse (4514121), we get a palindrome (16655661).

The spelling of 12141540 in words is "twelve million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67453 134906 202359 269812 337265 404718 607077 674530 809436 1011795 1214154 1349060 2023590 2428308 3035385 4047180 6070770 12141540