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12448080 = 2434517113
BaseRepresentation
bin101111011111…
…000101010000
3212102102120000
4233133011100
511141314310
61122450000
7210543531
oct57370520
925372500
1012448080
117032477
124203900
13276ac38
141920688
15115d4c0
hexbdf150

12448080 has 200 divisors, whose sum is σ = 46182312. Its totient is φ = 3096576.

The previous prime is 12448067. The next prime is 12448099. The reversal of 12448080 is 8084421.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 12194064 = 504^2 + 3492^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 110104 + ... + 110216.

Almost surely, 212448080 is an apocalyptic number.

12448080 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 12448080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091156).

12448080 is an abundant number, since it is smaller than the sum of its proper divisors (33734232).

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

12448080 is a wasteful number, since it uses less digits than its factorization.

12448080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12448080 is about 3528.1836686885. The cubic root of 12448080 is about 231.7576740476.

The spelling of 12448080 in words is "twelve million, four hundred forty-eight thousand, eighty".