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7104 = 26337

7104 has 28 divisors (see below), whose sum is σ = 19304. Its totient is φ = 2304.

The previous prime is 7103. The next prime is 7109. The reversal of 7104 is 4017.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174 + ... + 210.

27104 is an apocalyptic number.

7104 is a gapful number since it is divisible by the number (74) 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 7104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652).

7104 is an abundant number, since it is smaller than the sum of its proper divisors (12200).

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

7104 is a wasteful number, since it uses less digits than its factorization.

7104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 7104 is about 84.2852300228. The cubic root of 7104 is about 19.2235821348.

It can be divided in two parts, 7 and 104, that added together give a palindrome (111).

The spelling of 7104 in words is "seven thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104