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65690000 = 24546569
BaseRepresentation
bin1111101010010…
…1100110010000
311120121101201222
43322211212100
5113304040000
610303544212
71425233015
oct372454620
9146541658
1065690000
1134097962
1219bbb068
13107bcb2c
148a1d70c
155b78a85
hex3ea5990

65690000 has 50 divisors (see below), whose sum is σ = 159066270. Its totient is φ = 26272000.

The previous prime is 65689979. The next prime is 65690029. The reversal of 65690000 is 9656.

65690000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 12166144 + 53523856 = 3488^2 + 7316^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×656900002 = 8630352200000000, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 6716 + ... + 13284.

Almost surely, 265690000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79533135).

65690000 is an abundant number, since it is smaller than the sum of its proper divisors (93376270).

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

65690000 is an equidigital number, since it uses as much as digits as its factorization.

65690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 65690000 is about 8104.9367671809. The cubic root of 65690000 is about 403.4902894507.

Adding to 65690000 its reverse (9656), we get a palindrome (65699656).

The spelling of 65690000 in words is "sixty-five million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6569 10000 13138 26276 32845 52552 65690 105104 131380 164225 262760 328450 525520 656900 821125 1313800 1642250 2627600 3284500 4105625 6569000 8211250 13138000 16422500 32845000 65690000