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12065000 = 235419127
BaseRepresentation
bin101110000001…
…100011101000
3211200222001212
4232001203220
511042040000
61110332252
7204356633
oct56014350
924628055
1012065000
1168a0682
12405a088
13266576c
141860c1a
1510d4c35
hexb818e8

12065000 has 80 divisors (see below), whose sum is σ = 29990400. Its totient is φ = 4536000.

The previous prime is 12064993. The next prime is 12065003. The reversal of 12065000 is 56021.

It is not an unprimeable number, because it can be changed into a prime (12065003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94937 + ... + 95063.

It is an arithmetic number, because the mean of its divisors is an integer number (374880).

Almost surely, 212065000 is an apocalyptic number.

12065000 is a gapful number since it is divisible by the number (10) 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 12065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995200).

12065000 is an abundant number, since it is smaller than the sum of its proper divisors (17925400).

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

12065000 is a wasteful number, since it uses less digits than its factorization.

12065000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12065000 is about 3473.4708865917. The cubic root of 12065000 is about 229.3554734199.

The spelling of 12065000 in words is "twelve million, sixty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 127 152 190 200 250 254 380 475 500 508 625 635 760 950 1000 1016 1250 1270 1900 2375 2413 2500 2540 3175 3800 4750 4826 5000 5080 6350 9500 9652 11875 12065 12700 15875 19000 19304 23750 24130 25400 31750 47500 48260 60325 63500 79375 95000 96520 120650 127000 158750 241300 301625 317500 482600 603250 635000 1206500 1508125 2413000 3016250 6032500 12065000