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12045400 = 2352229263
BaseRepresentation
bin101101111100…
…110001011000
3211122222011221
4231330301120
511040423100
61110101424
7204245533
oct55746130
924588157
1012045400
116887984
12404a874
132659873
141857a1a
1510ce01a
hexb7cc58

12045400 has 48 divisors (see below), whose sum is σ = 28234800. Its totient is φ = 4778880.

The previous prime is 12045347. The next prime is 12045409. The reversal of 12045400 is 454021.

It is a super-2 number, since 2×120454002 = 290183322320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12045409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45669 + ... + 45931.

It is an arithmetic number, because the mean of its divisors is an integer number (588225).

Almost surely, 212045400 is an apocalyptic number.

12045400 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 12045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117400).

12045400 is an abundant number, since it is smaller than the sum of its proper divisors (16189400).

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

12045400 is a wasteful number, since it uses less digits than its factorization.

12045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 12045400 is about 3470.6483544145. The cubic root of 12045400 is about 229.2312075331.

Adding to 12045400 its reverse (454021), we get a palindrome (12499421).

The spelling of 12045400 in words is "twelve million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 263 458 526 916 1052 1145 1315 1832 2104 2290 2630 4580 5260 5725 6575 9160 10520 11450 13150 22900 26300 45800 52600 60227 120454 240908 301135 481816 602270 1204540 1505675 2409080 3011350 6022700 12045400