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65120 = 2551137
BaseRepresentation
bin1111111001100000
310022022212
433321200
54040440
61221252
7360566
oct177140
9108285
1065120
1144a20
1231828
1323843
1419a36
1514465
hexfe60

65120 has 48 divisors (see below), whose sum is σ = 172368. Its totient is φ = 23040.

The previous prime is 65119. The next prime is 65123. The reversal of 65120 is 2156.

It is a super-2 number, since 2×651202 = 8481228800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 65095 and 65104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1742 + ... + 1778.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

265120 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 65120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

65120 is an abundant number, since it is smaller than the sum of its proper divisors (107248).

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

65120 is a wasteful number, since it uses less digits than its factorization.

65120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 65120 is about 255.1862065238. The cubic root of 65120 is about 40.2319853028.

Adding to 65120 its reverse (2156), we get a palindrome (67276).

The spelling of 65120 in words is "sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 2035 2960 3256 4070 5920 6512 8140 13024 16280 32560 65120