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30124400 = 2452127593
BaseRepresentation
bin111001011101…
…0100101110000
32002200110220112
41302322211300
530202440100
62553400452
7514024145
oct162724560
962613815
1030124400
11160059a9
12a109128
1363197b7
1440023cc
1529a0b35
hex1cba970

30124400 has 60 divisors (see below), whose sum is σ = 73066752. Its totient is φ = 11934720.

The previous prime is 30124387. The next prime is 30124403. The reversal of 30124400 is 442103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30124403) 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, 50504 + ... + 51096.

Almost surely, 230124400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36533376).

30124400 is an abundant number, since it is smaller than the sum of its proper divisors (42942352).

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

30124400 is a wasteful number, since it uses less digits than its factorization.

30124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 30124400 is about 5488.5699412506. The cubic root of 30124400 is about 311.1521468925.

Adding to 30124400 its reverse (442103), we get a palindrome (30566503).

The spelling of 30124400 in words is "thirty million, one hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 593 635 1016 1186 1270 2032 2372 2540 2965 3175 4744 5080 5930 6350 9488 10160 11860 12700 14825 23720 25400 29650 47440 50800 59300 75311 118600 150622 237200 301244 376555 602488 753110 1204976 1506220 1882775 3012440 3765550 6024880 7531100 15062200 30124400