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12428232 = 2335967131
BaseRepresentation
bin101111011010…
…001111001000
3212101102022220
4233122033020
511140200412
61122214040
7210431625
oct57321710
925342286
1012428232
117019573
1241b4320
132761bab
14191734c
15115768c
hexbda3c8

12428232 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3981120.

The previous prime is 12428219. The next prime is 12428233. The reversal of 12428232 is 23282421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12428233) 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 15 ways as a sum of consecutive naturals, for example, 94807 + ... + 94937.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 212428232 is an apocalyptic number.

12428232 is a gapful number since it is divisible by the number (12) 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 12428232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

12428232 is an abundant number, since it is smaller than the sum of its proper divisors (19885368).

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

12428232 is a wasteful number, since it uses less digits than its factorization.

12428232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 12428232 is about 3525.3697678400. The cubic root of 12428232 is about 231.6344321959.

The spelling of 12428232 in words is "twelve million, four hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 67 118 131 134 177 201 236 262 268 354 393 402 472 524 536 708 786 804 1048 1416 1572 1608 3144 3953 7729 7906 8777 11859 15458 15812 17554 23187 23718 26331 30916 31624 35108 46374 47436 52662 61832 70216 92748 94872 105324 185496 210648 517843 1035686 1553529 2071372 3107058 4142744 6214116 12428232