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12035140 = 22513411129
BaseRepresentation
bin101101111010…
…010001000100
3211122110002221
4231322101010
511040111030
61105542124
7204203605
oct55722104
924573087
1012035140
1168801a7
124044944
132654cb0
141853dac
1510cae7a
hexb7a444

12035140 has 48 divisors (see below), whose sum is σ = 27906480. Its totient is φ = 4331520.

The previous prime is 12035137. The next prime is 12035171. The reversal of 12035140 is 4153021.

It can be written as a sum of positive squares in 8 ways, for example, as 6110784 + 5924356 = 2472^2 + 2434^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10096 + ... + 11224.

It is an arithmetic number, because the mean of its divisors is an integer number (581385).

Almost surely, 212035140 is an apocalyptic number.

12035140 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 12035140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953240).

12035140 is an abundant number, since it is smaller than the sum of its proper divisors (15871340).

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

12035140 is a wasteful number, since it uses less digits than its factorization.

12035140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12035140 is about 3469.1699295365. The cubic root of 12035140 is about 229.1661043880.

Adding to 12035140 its reverse (4153021), we get a palindrome (16188161).

The spelling of 12035140 in words is "twelve million, thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 1129 2132 2258 2665 4516 5330 5645 10660 11290 14677 22580 29354 46289 58708 73385 92578 146770 185156 231445 293540 462890 601757 925780 1203514 2407028 3008785 6017570 12035140