Search a number
-
+
12134540 = 22511192903
BaseRepresentation
bin101110010010…
…100010001100
3211211111110102
4232102202030
511101301130
61112030232
7205066445
oct56224214
924744412
1012134540
116938950
124092378
13268b302
14187c2cc
1510ea645
hexb9288c

12134540 has 48 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 4178880.

The previous prime is 12134531. The next prime is 12134543. The reversal of 12134540 is 4543121.

It is a super-2 number, since 2×121345402 = 294494122023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12134543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2729 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 212134540 is an apocalyptic number.

12134540 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 12134540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

12134540 is an abundant number, since it is smaller than the sum of its proper divisors (17137780).

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

12134540 is a wasteful number, since it uses less digits than its factorization.

12134540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12134540 is about 3483.4666641149. The cubic root of 12134540 is about 229.7952809752.

Adding to 12134540 its reverse (4543121), we get a palindrome (16677661).

The spelling of 12134540 in words is "twelve million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2903 4180 5806 11612 14515 29030 31933 55157 58060 63866 110314 127732 159665 220628 275785 319330 551570 606727 638660 1103140 1213454 2426908 3033635 6067270 12134540