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12048340 = 2252920773
BaseRepresentation
bin101101111101…
…011111010100
3211200010012211
4231331133110
511041021330
61110123204
7204260233
oct55753724
924603184
1012048340
11688a107
124050504
13265acc5
141858b1a
1510ced2a
hexb7d7d4

12048340 has 24 divisors (see below), whose sum is σ = 26175240. Its totient is φ = 4652928.

The previous prime is 12048329. The next prime is 12048341. The reversal of 12048340 is 4384021.

12048340 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 3857296 + 8191044 = 1964^2 + 2862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12048341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9807 + ... + 10966.

It is an arithmetic number, because the mean of its divisors is an integer number (1090635).

Almost surely, 212048340 is an apocalyptic number.

12048340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12048340 is an abundant number, since it is smaller than the sum of its proper divisors (14126900).

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

12048340 is a wasteful number, since it uses less digits than its factorization.

12048340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20811 (or 20809 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12048340 is about 3471.0718805579. The cubic root of 12048340 is about 229.2498560055.

The spelling of 12048340 in words is "twelve million, forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 20773 41546 83092 103865 207730 415460 602417 1204834 2409668 3012085 6024170 12048340