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12430440 = 23325114373
BaseRepresentation
bin101111011010…
…110001101000
3212101112100200
4233122301220
511140233230
61122232200
7210441231
oct57326150
925345320
1012430440
1170201a0
1241b5660
132762bb9
141918088
151158160
hexbdac68

12430440 has 192 divisors, whose sum is σ = 45714240. Its totient is φ = 2903040.

The previous prime is 12430433. The next prime is 12430447. The reversal of 12430440 is 4403421.

It is an interprime number because it is at equal distance from previous prime (12430433) and next prime (12430447).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12430447) 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 47 ways as a sum of consecutive naturals, for example, 170244 + ... + 170316.

It is an arithmetic number, because the mean of its divisors is an integer number (238095).

Almost surely, 212430440 is an apocalyptic number.

12430440 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 12430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22857120).

12430440 is an abundant number, since it is smaller than the sum of its proper divisors (33283800).

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

12430440 is a wasteful number, since it uses less digits than its factorization.

12430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12430440 is about 3525.6829125717. The cubic root of 12430440 is about 231.6481487766.

Adding to 12430440 its reverse (4403421), we get a palindrome (16833861).

The spelling of 12430440 in words is "twelve million, four hundred thirty thousand, four hundred forty".