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12483720 = 233453853
BaseRepresentation
bin101111100111…
…110010001000
3212111020110000
4233213302020
511143434340
61123323000
7211052454
oct57476210
925436400
1012483720
117057227
124220460
132781222
14192d664
151168d30
hexbe7c88

12483720 has 80 divisors (see below), whose sum is σ = 41970060. Its totient is φ = 3328128.

The previous prime is 12483707. The next prime is 12483727. The reversal of 12483720 is 2738421.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 910116 = 3402^2 + 954^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12483727) 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 19 ways as a sum of consecutive naturals, for example, 1314 + ... + 5166.

Almost surely, 212483720 is an apocalyptic number.

12483720 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 12483720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20985030).

12483720 is an abundant number, since it is smaller than the sum of its proper divisors (29486340).

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

12483720 is a wasteful number, since it uses less digits than its factorization.

12483720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12483720 is about 3533.2308161228. The cubic root of 12483720 is about 231.9786444869.

It can be divided in two parts, 12483 and 720, that added together give a triangular number (13203 = T162).

The spelling of 12483720 in words is "twelve million, four hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3853 7706 11559 15412 19265 23118 30824 34677 38530 46236 57795 69354 77060 92472 104031 115590 138708 154120 173385 208062 231180 277416 312093 346770 416124 462360 520155 624186 693540 832248 1040310 1248372 1387080 1560465 2080620 2496744 3120930 4161240 6241860 12483720