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12420720 = 24325131327
BaseRepresentation
bin101111011000…
…011001110000
3212101001000200
4233120121300
511134430340
61122115200
7210401004
oct57303160
925331020
1012420720
117013964
1241abb00
13275b650
141914704
151155330
hexbd8670

12420720 has 120 divisors (see below), whose sum is σ = 44955456. Its totient is φ = 3055104.

The previous prime is 12420719. The next prime is 12420721. The reversal of 12420720 is 2702421.

12420720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12420719) and next prime (12420721).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 12420693 and 12420702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8697 + ... + 10023.

Almost surely, 212420720 is an apocalyptic number.

12420720 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 12420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22477728).

12420720 is an abundant number, since it is smaller than the sum of its proper divisors (32534736).

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

12420720 is a wasteful number, since it uses less digits than its factorization.

12420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12420720 is about 3524.3041866445. The cubic root of 12420720 is about 231.5877538336.

The spelling of 12420720 in words is "twelve million, four hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1327 1560 1872 2340 2654 3120 3981 4680 5308 6635 7962 9360 10616 11943 13270 15924 17251 19905 21232 23886 26540 31848 34502 39810 47772 51753 53080 59715 63696 69004 79620 86255 95544 103506 106160 119430 138008 155259 159240 172510 191088 207012 238860 258765 276016 310518 318480 345020 414024 477720 517530 621036 690040 776295 828048 955440 1035060 1242072 1380080 1552590 2070120 2484144 3105180 4140240 6210360 12420720