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12480480 = 25365107
BaseRepresentation
bin101111100110…
…111111100000
3212111002000000
4233212333200
511143333410
61123300000
7211040145
oct57467740
925432000
1012480480
117054851
12421a600
13277c8cc
14192c3cc
151167dc0
hexbe6fe0

12480480 has 168 divisors, whose sum is σ = 44620632. Its totient is φ = 3297024.

The previous prime is 12480463. The next prime is 12480487. The reversal of 12480480 is 8408421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12480487) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116587 + ... + 116693.

It is an arithmetic number, because the mean of its divisors is an integer number (265599).

Almost surely, 212480480 is an apocalyptic number.

12480480 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 12480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22310316).

12480480 is an abundant number, since it is smaller than the sum of its proper divisors (32140152).

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

12480480 is an equidigital number, since it uses as much as digits as its factorization.

12480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

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

The square root of 12480480 is about 3532.7722825000. The cubic root of 12480480 is about 231.9585736576.

The spelling of 12480480 in words is "twelve million, four hundred eighty thousand, four hundred eighty".