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12066216 = 2331947563
BaseRepresentation
bin101110000001…
…110110101000
3211201000201220
4232001312220
511042104331
61110342040
7204363321
oct56016650
924630656
1012066216
1168a1588
12405a920
132666196
141861448
1510d5296
hexb81da8

12066216 has 64 divisors (see below), whose sum is σ = 32486400. Its totient is φ = 3722688.

The previous prime is 12066203. The next prime is 12066221. The reversal of 12066216 is 61266021.

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

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, 21151 + ... + 21713.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 212066216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243200).

12066216 is an abundant number, since it is smaller than the sum of its proper divisors (20420184).

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

12066216 is a wasteful number, since it uses less digits than its factorization.

12066216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12066216 is about 3473.6459232340. The cubic root of 12066216 is about 229.3631785417.

The spelling of 12066216 in words is "twelve million, sixty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 563 564 893 1126 1128 1689 1786 2252 2679 3378 3572 4504 5358 6756 7144 10697 10716 13512 21394 21432 26461 32091 42788 52922 64182 79383 85576 105844 128364 158766 211688 256728 317532 502759 635064 1005518 1508277 2011036 3016554 4022072 6033108 12066216