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12066720 = 2535231093
BaseRepresentation
bin101110000001…
…111110100000
3211201001102120
4232001332200
511042113340
61110344240
7204364641
oct56017640
924631376
1012066720
1168a19a6
12405b080
132666493
1418616c8
1510d54d0
hexb81fa0

12066720 has 96 divisors (see below), whose sum is σ = 39699072. Its totient is φ = 3075072.

The previous prime is 12066713. The next prime is 12066721. The reversal of 12066720 is 2766021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12066721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10494 + ... + 11586.

It is an arithmetic number, because the mean of its divisors is an integer number (413532).

Almost surely, 212066720 is an apocalyptic number.

12066720 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 12066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19849536).

12066720 is an abundant number, since it is smaller than the sum of its proper divisors (27632352).

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

12066720 is a wasteful number, since it uses less digits than its factorization.

12066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12066720 is about 3473.7184687306. The cubic root of 12066720 is about 229.3663719603.

The spelling of 12066720 in words is "twelve million, sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1093 1104 1380 1840 2186 2208 2760 3279 3680 4372 5465 5520 6558 8744 10930 11040 13116 16395 17488 21860 25139 26232 32790 34976 43720 50278 52464 65580 75417 87440 100556 104928 125695 131160 150834 174880 201112 251390 262320 301668 377085 402224 502780 524640 603336 754170 804448 1005560 1206672 1508340 2011120 2413344 3016680 4022240 6033360 12066720