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60064 = 251877
BaseRepresentation
bin1110101010100000
310001101121
432222200
53410224
61142024
7340054
oct165240
9101347
1060064
1141144
122a914
1321454
1417c64
1512be4
hexeaa0

60064 has 12 divisors (see below), whose sum is σ = 118314. Its totient is φ = 30016.

The previous prime is 60041. The next prime is 60077. The reversal of 60064 is 46006.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 11664 = 220^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 4 and base 16.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 907 + ... + 970.

260064 is an apocalyptic number.

It is an amenable number.

60064 is a deficient number, since it is larger than the sum of its proper divisors (58250).

60064 is a wasteful number, since it uses less digits than its factorization.

60064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 60064 is about 245.0795789126. The cubic root of 60064 is about 39.1625909948.

The spelling of 60064 in words is "sixty thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 16 32 1877 3754 7508 15016 30032 60064