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12010140 = 2233523967
BaseRepresentation
bin101101110100…
…001010011100
3211121011211000
4231310022130
511033311030
61105230300
7204040662
oct55641234
924534730
1012010140
11686343a
124032390
1326467bc
141848c32
1510c3860
hexb7429c

12010140 has 96 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3060288.

The previous prime is 12010129. The next prime is 12010151. The reversal of 12010140 is 4101021.

It is a happy number.

12010140 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 is an interprime number because it is at equal distance from previous prime (12010129) and next prime (12010151).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11937 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 212010140 is an apocalyptic number.

12010140 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 12010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

12010140 is an abundant number, since it is smaller than the sum of its proper divisors (27019620).

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

12010140 is a wasteful number, since it uses less digits than its factorization.

12010140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12010140 is about 3465.5648890188. The cubic root of 12010140 is about 229.0073159248.

Adding to 12010140 its reverse (4101021), we get a palindrome (16111161).

The spelling of 12010140 in words is "twelve million, ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 967 1035 1242 1380 1934 2070 2484 2901 3105 3868 4140 4835 5802 6210 8703 9670 11604 12420 14505 17406 19340 22241 26109 29010 34812 43515 44482 52218 58020 66723 87030 88964 104436 111205 130545 133446 174060 200169 222410 261090 266892 333615 400338 444820 522180 600507 667230 800676 1000845 1201014 1334460 2001690 2402028 3002535 4003380 6005070 12010140