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65380 = 2257467
BaseRepresentation
bin1111111101100100
310022200111
433331210
54043010
61222404
7361420
oct177544
9108614
1065380
1145137
1231a04
13239b3
1419b80
151458a
hexff64

65380 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 22368.

The previous prime is 65371. The next prime is 65381. The reversal of 65380 is 8356.

65380 = T36 + T37 + ... + T75.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (65381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 94 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

265380 is an apocalyptic number.

It is an amenable number.

65380 is an abundant number, since it is smaller than the sum of its proper divisors (91868).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

65380 is a wasteful number, since it uses less digits than its factorization.

65380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 65380 is about 255.6951309665. The cubic root of 65380 is about 40.2854579973.

The spelling of 65380 in words is "sixty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 467 934 1868 2335 3269 4670 6538 9340 13076 16345 32690 65380