Search a number
-
+
12073068 = 22327232083
BaseRepresentation
bin101110000011…
…100001101100
3211201101010200
4232003201230
511042314233
61110433500
7204422310
oct56034154
924641120
1012073068
1168a6747
124062890
132669337
141863b40
1510d7313
hexb8386c

12073068 has 72 divisors (see below), whose sum is σ = 36411648. Its totient is φ = 3297888.

The previous prime is 12073057. The next prime is 12073081. The reversal of 12073068 is 86037021.

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 23 ways as a sum of consecutive naturals, for example, 4755 + ... + 6837.

Almost surely, 212073068 is an apocalyptic number.

12073068 is a gapful number since it is divisible by the number (18) 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 12073068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18205824).

12073068 is an abundant number, since it is smaller than the sum of its proper divisors (24338580).

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

12073068 is a wasteful number, since it uses less digits than its factorization.

12073068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12073068 is about 3474.6320668525. The cubic root of 12073068 is about 229.4065862156.

The spelling of 12073068 in words is "twelve million, seventy-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2083 2898 4166 5796 6249 8332 12498 14581 18747 24996 29162 37494 43743 47909 58324 74988 87486 95818 131229 143727 174972 191636 262458 287454 335363 431181 524916 574908 670726 862362 1006089 1341452 1724724 2012178 3018267 4024356 6036534 12073068