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12428300 = 2252373359
BaseRepresentation
bin101111011010…
…010000001100
3212101102102102
4233122100030
511140201200
61122214232
7210432053
oct57322014
925342372
1012428300
117019625
1241b4378
132761c31
14191739a
1511576d5
hexbda40c

12428300 has 36 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 4835520.

The previous prime is 12428293. The next prime is 12428321. The reversal of 12428300 is 382421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 2021 + ... + 5379.

Almost surely, 212428300 is an apocalyptic number.

12428300 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 12428300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853280).

12428300 is an abundant number, since it is smaller than the sum of its proper divisors (15278260).

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

12428300 is a wasteful number, since it uses less digits than its factorization.

12428300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12428300 is about 3525.3794122052. The cubic root of 12428300 is about 231.6348546511.

The spelling of 12428300 in words is "twelve million, four hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3359 3700 6718 13436 16795 33590 67180 83975 124283 167950 248566 335900 497132 621415 1242830 2485660 3107075 6214150 12428300