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107004 = 22337241
BaseRepresentation
bin11010000111111100
312102210010
4122013330
511411004
62143220
7623652
oct320774
9172703
10107004
1173437
1251b10
1339921
142add2
1521a89
hex1a1fc

107004 has 24 divisors (see below), whose sum is σ = 257488. Its totient is φ = 34560.

The previous prime is 106993. The next prime is 107021. The reversal of 107004 is 400701.

107004 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×1070042 = 22899712032, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107004.

It is an unprimeable number.

107004 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 7 ways as a sum of consecutive naturals, for example, 324 + ... + 564.

2107004 is an apocalyptic number.

It is an amenable number.

107004 is an abundant number, since it is smaller than the sum of its proper divisors (150484).

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

107004 is a wasteful number, since it uses less digits than its factorization.

107004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

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

The square root of 107004 is about 327.1146587972. The cubic root of 107004 is about 47.4751855616.

Adding to 107004 its reverse (400701), we get a palindrome (507705).

The spelling of 107004 in words is "one hundred seven thousand, four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 37 74 111 148 222 241 444 482 723 964 1446 2892 8917 17834 26751 35668 53502 107004