Search a number
-
+
12000534 = 2371331709
BaseRepresentation
bin101101110001…
…110100010110
3211120200122020
4231301310112
511033004114
61105114010
7204000660
oct55616426
924520566
1012000534
1168571a7
124028906
132642310
141845530
1510c0aa9
hexb71d16

12000534 has 64 divisors (see below), whose sum is σ = 30535680. Its totient is φ = 3058560.

The previous prime is 12000523. The next prime is 12000551. The reversal of 12000534 is 43500021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16572 + ... + 17280.

It is an arithmetic number, because the mean of its divisors is an integer number (477120).

Almost surely, 212000534 is an apocalyptic number.

12000534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267840).

12000534 is an abundant number, since it is smaller than the sum of its proper divisors (18535146).

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

12000534 is a wasteful number, since it uses less digits than its factorization.

12000534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12000534 is about 3464.1786905412. The cubic root of 12000534 is about 228.9462444459.

Adding to 12000534 its reverse (43500021), we get a palindrome (55500555).

The spelling of 12000534 in words is "twelve million, five hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 709 806 1209 1302 1418 2127 2418 2821 4254 4963 5642 8463 9217 9926 14889 16926 18434 21979 27651 29778 43958 55302 64519 65937 129038 131874 153853 193557 285727 307706 387114 461559 571454 857181 923118 1714362 2000089 4000178 6000267 12000534