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12479040 = 263257619
BaseRepresentation
bin101111100110…
…101001000000
3212111000000200
4233212221000
511143312130
61123245200
7211033020
oct57465100
925430020
1012479040
117053762
124219800
13277c062
14192ba80
151167760
hexbe6a40

12479040 has 168 divisors, whose sum is σ = 49133760. Its totient is φ = 2847744.

The previous prime is 12479039. The next prime is 12479053. The reversal of 12479040 is 4097421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 12478995 and 12479013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19851 + ... + 20469.

Almost surely, 212479040 is an apocalyptic number.

12479040 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 12479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566880).

12479040 is an abundant number, since it is smaller than the sum of its proper divisors (36654720).

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

12479040 is a wasteful number, since it uses less digits than its factorization.

12479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12479040 is about 3532.5684706740. The cubic root of 12479040 is about 231.9496521740.

The spelling of 12479040 in words is "twelve million, four hundred seventy-nine thousand, forty".