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12062720 = 21251931
BaseRepresentation
bin101110000001…
…000000000000
3211200211221102
4232001000000
511042001340
61110313532
7204350165
oct56010000
924624842
1012062720
11689999a
1240588a8
132664707
14186006c
1510d4215
hexb81000

12062720 has 104 divisors (see below), whose sum is σ = 31453440. Its totient is φ = 4423680.

The previous prime is 12062719. The next prime is 12062731. The reversal of 12062720 is 2726021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12062692 and 12062701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389105 + ... + 389135.

Almost surely, 212062720 is an apocalyptic number.

12062720 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 12062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726720).

12062720 is an abundant number, since it is smaller than the sum of its proper divisors (19390720).

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

12062720 is an equidigital number, since it uses as much as digits as its factorization.

12062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 12062720 is about 3473.1426691111. The cubic root of 12062720 is about 229.3410249208.

Adding to 12062720 its reverse (2726021), we get a palindrome (14788741).

The spelling of 12062720 in words is "twelve million, sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 256 304 310 320 380 496 512 589 608 620 640 760 992 1024 1178 1216 1240 1280 1520 1984 2048 2356 2432 2480 2560 2945 3040 3968 4096 4712 4864 4960 5120 5890 6080 7936 9424 9728 9920 10240 11780 12160 15872 18848 19456 19840 20480 23560 24320 31744 37696 38912 39680 47120 48640 63488 75392 77824 79360 94240 97280 126976 150784 158720 188480 194560 301568 317440 376960 389120 603136 634880 753920 1206272 1507840 2412544 3015680 6031360 12062720