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12067320 = 2335227443
BaseRepresentation
bin101110000010…
…000111111000
3211201002020210
4232002013320
511042123240
61110351120
7204366456
oct56020770
924632223
1012067320
1168a23a1
12405b4a0
132666835
1418619d6
1510d5780
hexb821f8

12067320 has 64 divisors (see below), whose sum is σ = 36443520. Its totient is φ = 3196544.

The previous prime is 12067313. The next prime is 12067351. The reversal of 12067320 is 2376021.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 27019 + ... + 27461.

It is an arithmetic number, because the mean of its divisors is an integer number (569430).

Almost surely, 212067320 is an apocalyptic number.

12067320 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 12067320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221760).

12067320 is an abundant number, since it is smaller than the sum of its proper divisors (24376200).

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

12067320 is a wasteful number, since it uses less digits than its factorization.

12067320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 12067320 is about 3473.8048304417. The cubic root of 12067320 is about 229.3701735330.

The spelling of 12067320 in words is "twelve million, sixty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 443 454 681 886 908 1135 1329 1362 1772 1816 2215 2270 2658 2724 3405 3544 4430 4540 5316 5448 6645 6810 8860 9080 10632 13290 13620 17720 26580 27240 53160 100561 201122 301683 402244 502805 603366 804488 1005610 1206732 1508415 2011220 2413464 3016830 4022440 6033660 12067320