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148104 = 233211217
BaseRepresentation
bin100100001010001000
321112011100
4210022020
514214404
63101400
71154535
oct441210
9245140
10148104
11a1300
1271860
1352548
143bd8c
152dd39
hex24288

148104 has 72 divisors (see below), whose sum is σ = 466830. Its totient is φ = 42240.

The previous prime is 148091. The next prime is 148123. The reversal of 148104 is 401841.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 39204 = 330^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 148104.

It is an unprimeable number.

148104 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 (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8704 + ... + 8720.

2148104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233415).

148104 is an abundant number, since it is smaller than the sum of its proper divisors (318726).

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

148104 is a wasteful number, since it uses less digits than its factorization.

148104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 148104 is about 384.8428250598. The cubic root of 148104 is about 52.9081118155.

148104 divided by its sum of digits (18) gives a palindrome (8228).

Adding to 148104 its reverse (401841), we get a palindrome (549945).

It can be divided in two parts, 148 and 104, that added together give a palindrome (252).

The spelling of 148104 in words is "one hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 121 132 136 153 187 198 204 242 264 306 363 374 396 408 484 561 612 726 748 792 968 1089 1122 1224 1452 1496 1683 2057 2178 2244 2904 3366 4114 4356 4488 6171 6732 8228 8712 12342 13464 16456 18513 24684 37026 49368 74052 148104