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12144400 = 245297313
BaseRepresentation
bin101110010100…
…111100010000
3211211222222121
4232110330100
511102110100
61112144024
7205140262
oct56247420
924758877
1012144400
1169452a4
124098014
132692948
141881b32
1510ed51a
hexb94f10

12144400 has 60 divisors (see below), whose sum is σ = 29571892. Its totient is φ = 4792320.

The previous prime is 12144389. The next prime is 12144403. The reversal of 12144400 is 444121.

It can be written as a sum of positive squares in 6 ways, for example, as 2999824 + 9144576 = 1732^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12144403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38644 + ... + 38956.

Almost surely, 212144400 is an apocalyptic number.

12144400 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 12144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785946).

12144400 is an abundant number, since it is smaller than the sum of its proper divisors (17427492).

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

12144400 is a wasteful number, since it uses less digits than its factorization.

12144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12144400 is about 3484.8816335709. The cubic root of 12144400 is about 229.8575046786.

Adding to 12144400 its reverse (444121), we get a palindrome (12588521).

It can be divided in two parts, 12144 and 400, that added together give a square (12544 = 1122).

The spelling of 12144400 in words is "twelve million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 313 388 400 485 626 776 970 1252 1552 1565 1940 2425 2504 3130 3880 4850 5008 6260 7760 7825 9700 12520 15650 19400 25040 30361 31300 38800 60722 62600 121444 125200 151805 242888 303610 485776 607220 759025 1214440 1518050 2428880 3036100 6072200 12144400