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14065000 = 23542997
BaseRepresentation
bin110101101001…
…110101101000
3222110120112221
4311221311220
512100040000
61221243424
7230356555
oct65516550
928416487
1014065000
117a37274
124863574
132bb5bb1
141c21a2c
15137c61a
hexd69d68

14065000 has 80 divisors (see below), whose sum is σ = 34442100. Its totient is φ = 5376000.

The previous prime is 14064991. The next prime is 14065003. The reversal of 14065000 is 56041.

It can be written as a sum of positive squares in 10 ways, for example, as 1205604 + 12859396 = 1098^2 + 3586^2 .

It is not an unprimeable number, because it can be changed into a prime (14065003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 144952 + ... + 145048.

Almost surely, 214065000 is an apocalyptic number.

14065000 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 14065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221050).

14065000 is an abundant number, since it is smaller than the sum of its proper divisors (20377100).

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

14065000 is an equidigital number, since it uses as much as digits as its factorization.

14065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 14065000 is about 3750.3333185198. Note that the first 4 decimals coincide. The cubic root of 14065000 is about 241.3866488503.

The spelling of 14065000 in words is "fourteen million, sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 97 100 116 125 145 194 200 232 250 290 388 485 500 580 625 725 776 970 1000 1160 1250 1450 1940 2425 2500 2813 2900 3625 3880 4850 5000 5626 5800 7250 9700 11252 12125 14065 14500 18125 19400 22504 24250 28130 29000 36250 48500 56260 60625 70325 72500 97000 112520 121250 140650 145000 242500 281300 351625 485000 562600 703250 1406500 1758125 2813000 3516250 7032500 14065000