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12923040 = 25351319109
BaseRepresentation
bin110001010011…
…000010100000
3220022120002010
4301103002200
511302014130
61140552520
7214562334
oct61230240
926276063
1012923040
1173272a9
1243b2740
1328a6190
141a057c4
1512040b0
hexc530a0

12923040 has 192 divisors, whose sum is σ = 46569600. Its totient is φ = 2985984.

The previous prime is 12923023. The next prime is 12923041. The reversal of 12923040 is 4032921.

It is a junction number, because it is equal to n+sod(n) for n = 12922998 and 12923016.

It is not an unprimeable number, because it can be changed into a prime (12923041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118506 + ... + 118614.

It is an arithmetic number, because the mean of its divisors is an integer number (242550).

Almost surely, 212923040 is an apocalyptic number.

12923040 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 12923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23284800).

12923040 is an abundant number, since it is smaller than the sum of its proper divisors (33646560).

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

12923040 is a wasteful number, since it uses less digits than its factorization.

12923040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12923040 is about 3594.8630015621. The cubic root of 12923040 is about 234.6685534169.

Adding to 12923040 its reverse (4032921), we get a palindrome (16955961).

The spelling of 12923040 in words is "twelve million, nine hundred twenty-three thousand, forty".