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65660416 = 29257499
BaseRepresentation
bin1111101001111…
…0011000000000
311120112220011021
43322132120000
5113302113131
610303155224
71425050533
oct372363000
9146486137
1065660416
1134077708
1219ba5b14
13107ac523
148a12a1a
155b6ee11
hex3e9e600

65660416 has 40 divisors (see below), whose sum is σ = 131967000. Its totient is φ = 32636928.

The previous prime is 65660369. The next prime is 65660417. The reversal of 65660416 is 61406656.

It is a super-2 number, since 2×656604162 = 8622580458586112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65660417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131335 + ... + 131833.

It is an arithmetic number, because the mean of its divisors is an integer number (3299175).

Almost surely, 265660416 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 65660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65983500).

65660416 is an abundant number, since it is smaller than the sum of its proper divisors (66306584).

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

65660416 is an equidigital number, since it uses as much as digits as its factorization.

65660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 65660416 is about 8103.1115011457. Note that the first 3 decimals coincide. The cubic root of 65660416 is about 403.4297086970.

The spelling of 65660416 in words is "sixty-five million, six hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 257 499 512 514 998 1028 1996 2056 3992 4112 7984 8224 15968 16448 31936 32896 63872 65792 127744 128243 131584 255488 256486 512972 1025944 2051888 4103776 8207552 16415104 32830208 65660416