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12480192 = 263247461
BaseRepresentation
bin101111100110…
…111011000000
3212111001121100
4233212323000
511143331232
61123254400
7211036254
oct57467300
925431540
1012480192
11705460a
12421a400
13277c73a
14192c264
151167c7c
hexbe6ec0

12480192 has 84 divisors (see below), whose sum is σ = 36612576. Its totient is φ = 4062720.

The previous prime is 12480161. The next prime is 12480199. The reversal of 12480192 is 29108421.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12480199) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26842 + ... + 27302.

It is an arithmetic number, because the mean of its divisors is an integer number (435864).

Almost surely, 212480192 is an apocalyptic number.

12480192 is a gapful number since it is divisible by the number (12) 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 12480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306288).

12480192 is an abundant number, since it is smaller than the sum of its proper divisors (24132384).

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

12480192 is a wasteful number, since it uses less digits than its factorization.

12480192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12480192 is about 3532.7315210754. The cubic root of 12480192 is about 231.9567894158.

The spelling of 12480192 in words is "twelve million, four hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 461 564 576 752 846 922 1128 1383 1504 1692 1844 2256 2766 3008 3384 3688 4149 4512 5532 6768 7376 8298 9024 11064 13536 14752 16596 21667 22128 27072 29504 33192 43334 44256 65001 66384 86668 88512 130002 132768 173336 195003 260004 265536 346672 390006 520008 693344 780012 1040016 1386688 1560024 2080032 3120048 4160064 6240096 12480192