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12321720 = 233453803
BaseRepresentation
bin101111000000…
…001110111000
3212012000020000
4233000032320
511123243340
61120033000
7206506245
oct57001670
925160200
1012321720
116a56544
124162760
132725578
1418ca5cc
151135d30
hexbc03b8

12321720 has 80 divisors (see below), whose sum is σ = 41425560. Its totient is φ = 3284928.

The previous prime is 12321713. The next prime is 12321733. The reversal of 12321720 is 2712321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12321693 and 12321702.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1339 + ... + 5141.

Almost surely, 212321720 is an apocalyptic number.

12321720 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 12321720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712780).

12321720 is an abundant number, since it is smaller than the sum of its proper divisors (29103840).

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

12321720 is a wasteful number, since it uses less digits than its factorization.

12321720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12321720 is about 3510.2307616452. The cubic root of 12321720 is about 230.9708177000.

It can be divided in two parts, 12321 and 720, that added together give a triangular number (13041 = T161).

The spelling of 12321720 in words is "twelve million, three hundred twenty-one 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 3803 7606 11409 15212 19015 22818 30424 34227 38030 45636 57045 68454 76060 91272 102681 114090 136908 152120 171135 205362 228180 273816 308043 342270 410724 456360 513405 616086 684540 821448 1026810 1232172 1369080 1540215 2053620 2464344 3080430 4107240 6160860 12321720