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12439120 = 245612549
BaseRepresentation
bin101111011100…
…111001010000
3212101222021011
4233130321100
511141022440
61122340304
7210505441
oct57347120
925358234
1012439120
117026771
1241ba694
132766b35
14191b2c8
15115a9ea
hexbdce50

12439120 has 40 divisors (see below), whose sum is σ = 29406600. Its totient is φ = 4892160.

The previous prime is 12439093. The next prime is 12439123. The reversal of 12439120 is 2193421.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 11532816 = 952^2 + 3396^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12439091 and 12439100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12439123) 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 7 ways as a sum of consecutive naturals, for example, 3606 + ... + 6154.

It is an arithmetic number, because the mean of its divisors is an integer number (735165).

Almost surely, 212439120 is an apocalyptic number.

12439120 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 12439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703300).

12439120 is an abundant number, since it is smaller than the sum of its proper divisors (16967480).

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

12439120 is a wasteful number, since it uses less digits than its factorization.

12439120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12439120 is about 3526.9136649484. The cubic root of 12439120 is about 231.7020551038.

The spelling of 12439120 in words is "twelve million, four hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 2549 4880 5098 10196 12745 20392 25490 40784 50980 101960 155489 203920 310978 621956 777445 1243912 1554890 2487824 3109780 6219560 12439120