Search a number
-
+
12085650 = 23252107251
BaseRepresentation
bin101110000110…
…100110010010
3211202000101200
4232012212102
511043220100
61111012030
7204504063
oct56064622
924660350
1012085650
116905145
12406a016
132671c95
14186856a
1510dae00
hexb86992

12085650 has 72 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 3180000.

The previous prime is 12085631. The next prime is 12085673. The reversal of 12085650 is 5658021.

12085650 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 5 + 650 = 666.

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 35 ways as a sum of consecutive naturals, for example, 48025 + ... + 48275.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

It is a vampire number, since it can be written as 15068025 (with its own digits).

Almost surely, 212085650 is an apocalyptic number.

12085650 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 12085650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

12085650 is an abundant number, since it is smaller than the sum of its proper divisors (20818494).

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

12085650 is a wasteful number, since it uses less digits than its factorization.

12085650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 12085650 is about 3476.4421467932. The cubic root of 12085650 is about 229.4862509029.

The spelling of 12085650 in words is "twelve million, eighty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 150 214 225 251 321 450 502 535 642 753 963 1070 1255 1506 1605 1926 2259 2510 2675 3210 3765 4518 4815 5350 6275 7530 8025 9630 11295 12550 16050 18825 22590 24075 26857 37650 48150 53714 56475 80571 112950 134285 161142 241713 268570 402855 483426 671425 805710 1208565 1342850 2014275 2417130 4028550 6042825 12085650