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60960 = 2535127
BaseRepresentation
bin1110111000100000
310002121210
432320200
53422320
61150120
7342504
oct167040
9102553
1060960
1141889
122b340
1321993
1418304
15130e0
hexee20

60960 has 48 divisors (see below), whose sum is σ = 193536. Its totient is φ = 16128.

The previous prime is 60953. The next prime is 60961. The reversal of 60960 is 6906.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×609602 = 7432243200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (60961) by changing a digit.

60960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

260960 is an apocalyptic number.

60960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

60960 is an abundant number, since it is smaller than the sum of its proper divisors (132576).

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

60960 is a wasteful number, since it uses less digits than its factorization.

60960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 60960 is about 246.9007897922. The cubic root of 60960 is about 39.3563655842.

It can be divided in two parts, 60 and 960, that multiplied together give a square (57600 = 2402).

The spelling of 60960 in words is "sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 60960