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63108 = 22321753
BaseRepresentation
bin1111011010000100
310012120100
433122010
54004413
61204100
7351663
oct173204
9105510
1063108
1143461
1230630
1322956
1418dda
1513a73
hexf684

63108 has 18 divisors (see below), whose sum is σ = 159614. Its totient is φ = 21024.

The previous prime is 63103. The next prime is 63113. The reversal of 63108 is 80136.

63108 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63103) and next prime (63113).

It can be written as a sum of positive squares in only one way, i.e., 36864 + 26244 = 192^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (63103) by changing a digit.

63108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 841 + ... + 912.

263108 is an apocalyptic number.

It is an amenable number.

63108 is an abundant number, since it is smaller than the sum of its proper divisors (96506).

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

63108 is a wasteful number, since it uses less digits than its factorization.

63108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 63108 is about 251.2130569855. The cubic root of 63108 is about 39.8132965682.

It can be divided in two parts, 63 and 108, that added together give a palindrome (171).

The spelling of 63108 in words is "sixty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 1753 3506 5259 7012 10518 15777 21036 31554 63108