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12054140 = 2257292969
BaseRepresentation
bin101101111110…
…111001111100
3211200102011122
4231332321330
511041213030
61110210112
7204313160
oct55767174
924612148
1012054140
1168934aa
124053938
132660837
14185aca0
1510d18e5
hexb7ee7c

12054140 has 48 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3988992.

The previous prime is 12054131. The next prime is 12054181. The reversal of 12054140 is 4145021.

12054140 = T343 + T344 + ... + T482.

It is a super-2 number, since 2×120541402 = 290604582279200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2576 + ... + 5544.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 212054140 is an apocalyptic number.

12054140 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 12054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

12054140 is an abundant number, since it is smaller than the sum of its proper divisors (17883460).

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

12054140 is a wasteful number, since it uses less digits than its factorization.

12054140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 12054140 is about 3471.9072568259. The cubic root of 12054140 is about 229.2866366148.

Adding to 12054140 its reverse (4145021), we get a palindrome (16199161).

The spelling of 12054140 in words is "twelve million, fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 2969 4060 5938 11876 14845 20783 29690 41566 59380 83132 86101 103915 172202 207830 344404 415660 430505 602707 861010 1205414 1722020 2410828 3013535 6027070 12054140