Search a number
-
+
12066320 = 245729743
BaseRepresentation
bin101110000001…
…111000010000
3211201000212202
4232001320100
511042110240
61110342332
7204363530
oct56017020
924630782
1012066320
1168a1672
12405a9a8
132666246
1418614c0
1510d5315
hexb81e10

12066320 has 80 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 3988992.

The previous prime is 12066293. The next prime is 12066331. The reversal of 12066320 is 2366021.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 12066292 and 12066301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15869 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 212066320 is an apocalyptic number.

12066320 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 12066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

12066320 is an abundant number, since it is smaller than the sum of its proper divisors (21145840).

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

12066320 is a wasteful number, since it uses less digits than its factorization.

12066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 12066320 is about 3473.6608930637. The cubic root of 12066320 is about 229.3638375084.

The spelling of 12066320 in words is "twelve million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 743 812 1015 1160 1486 1624 2030 2320 2972 3248 3715 4060 5201 5944 7430 8120 10402 11888 14860 16240 20804 21547 26005 29720 41608 43094 52010 59440 83216 86188 104020 107735 150829 172376 208040 215470 301658 344752 416080 430940 603316 754145 861880 1206632 1508290 1723760 2413264 3016580 6033160 12066320