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65280 = 283517
BaseRepresentation
bin1111111100000000
310022112210
433330000
54042110
61222120
7361215
oct177400
9108483
1065280
1145056
1231940
1323937
1419b0c
1514520
hexff00

65280 has 72 divisors (see below), whose sum is σ = 220752. Its totient is φ = 16384.

The previous prime is 65269. The next prime is 65287. The reversal of 65280 is 8256.

65280 divided by its product of nonzero digits (480) gives a triangular number (136 = T16).

Adding to 65280 its reverse (8256), we get a triangular number (73536 = T383).

65280 = T79 + T80 + ... + T95.

It is a happy number.

65280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×652802 = 8522956800, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2, base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65287) by changing a digit.

65280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 65280 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3832 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (3066).

265280 is an apocalyptic number.

65280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 255×256.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376).

65280 is an abundant number, since it is smaller than the sum of its proper divisors (155472).

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

65280 is a wasteful number, since it uses less digits than its factorization.

65280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 65280 is about 255.4995107627. The cubic root of 65280 is about 40.2649083824.

The spelling of 65280 in words is "sixty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10880 13056 16320 21760 32640 65280