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12479440 = 245473319
BaseRepresentation
bin101111100110…
…101111010000
3212111000120111
4233212233100
511143320230
61123251104
7211034131
oct57465720
925430514
1012479440
117053a96
124219a94
13277c2ac
14192bc88
15116792a
hexbe6bd0

12479440 has 40 divisors (see below), whose sum is σ = 29640960. Its totient is φ = 4884096.

The previous prime is 12479437. The next prime is 12479473. The reversal of 12479440 is 4497421.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2101 + ... + 5419.

It is an arithmetic number, because the mean of its divisors is an integer number (741024).

Almost surely, 212479440 is an apocalyptic number.

12479440 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 12479440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820480).

12479440 is an abundant number, since it is smaller than the sum of its proper divisors (17161520).

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

12479440 is a wasteful number, since it uses less digits than its factorization.

12479440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 12479440 is about 3532.6250862496. The cubic root of 12479440 is about 231.9521304327.

The spelling of 12479440 in words is "twelve million, four hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3319 3760 6638 13276 16595 26552 33190 53104 66380 132760 155993 265520 311986 623972 779965 1247944 1559930 2495888 3119860 6239720 12479440