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12067328 = 29721337
BaseRepresentation
bin101110000010…
…001000000000
3211201002021002
4232002020000
511042123303
61110351132
7204366500
oct56021000
924632232
1012067328
1168a23a9
12405b4a8
132666840
141861a00
1510d5788
hexb82200

12067328 has 120 divisors (see below), whose sum is σ = 31021452. Its totient is φ = 4644864.

The previous prime is 12067313. The next prime is 12067351. The reversal of 12067328 is 82376021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 12544 = 3472^2 + 112^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12067328.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326126 + ... + 326162.

Almost surely, 212067328 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 12067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510726).

12067328 is an abundant number, since it is smaller than the sum of its proper divisors (18954124).

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

12067328 is an equidigital number, since it uses as much as digits as its factorization.

12067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 12067328 is about 3473.8059819167. The cubic root of 12067328 is about 229.3702242198.

The spelling of 12067328 in words is "twelve million, sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 49 52 56 64 74 91 98 104 112 128 148 182 196 208 224 256 259 296 364 392 416 448 481 512 518 592 637 728 784 832 896 962 1036 1184 1274 1456 1568 1664 1792 1813 1924 2072 2368 2548 2912 3136 3328 3367 3584 3626 3848 4144 4736 5096 5824 6272 6656 6734 7252 7696 8288 9472 10192 11648 12544 13468 14504 15392 16576 18944 20384 23296 23569 25088 26936 29008 30784 33152 40768 46592 47138 53872 58016 61568 66304 81536 94276 107744 116032 123136 132608 163072 188552 215488 232064 246272 326144 377104 430976 464128 754208 861952 928256 1508416 1723904 3016832 6033664 12067328