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4104 = 233319
BaseRepresentation
bin1000000001000
312122000
41000020
5112404
631000
714652
oct10010
95560
104104
1130a1
122460
131b39
1416d2
151339
hex1008

4104 has 32 divisors (see below), whose sum is σ = 12000. Its totient is φ = 1296.

The previous prime is 4099. The next prime is 4111. The reversal of 4104 is 4014.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4104 = 23 + 163 = 93 + 153.

It is a plaindrome in base 15.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4104.

It is an unprimeable number.

4104 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 (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (375).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000).

4104 is an abundant number, since it is smaller than the sum of its proper divisors (7896).

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

4104 is a wasteful number, since it uses less digits than its factorization.

4104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4104 is about 64.0624695122. The cubic root of 4104 is about 16.0104098923.

The spelling of 4104 in words is "four thousand, one hundred four", and is thus an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104