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12005070 = 2357115197
BaseRepresentation
bin101101110010…
…111011001110
3211120220212020
4231302323032
511033130240
61105151010
7204020130
oct55627316
924526766
1012005070
11685a650
12402b466
1326443bc
141847050
1510c20d0
hexb72ece

12005070 has 64 divisors (see below), whose sum is σ = 35928576. Its totient is φ = 2494080.

The previous prime is 12005053. The next prime is 12005099. The reversal of 12005070 is 7050021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289 + ... + 4908.

It is an arithmetic number, because the mean of its divisors is an integer number (561384).

Almost surely, 212005070 is an apocalyptic number.

12005070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12005070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964288).

12005070 is an abundant number, since it is smaller than the sum of its proper divisors (23923506).

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

12005070 is a wasteful number, since it uses less digits than its factorization.

12005070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 12005070 is about 3464.8333293248. The cubic root of 12005070 is about 228.9750867554.

Adding to 12005070 its reverse (7050021), we get a palindrome (19055091).

The spelling of 12005070 in words is "twelve million, five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 5197 10394 15591 25985 31182 36379 51970 57167 72758 77955 109137 114334 155910 171501 181895 218274 285835 343002 363790 400169 545685 571670 800338 857505 1091370 1200507 1715010 2000845 2401014 4001690 6002535 12005070