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104130 = 23251389
BaseRepresentation
bin11001011011000010
312021211200
4121123002
511313010
62122030
7612405
oct313302
9167750
10104130
1171264
1250316
1338520
1429d3c
1520cc0
hex196c2

104130 has 48 divisors (see below), whose sum is σ = 294840. Its totient is φ = 25344.

The previous prime is 104123. The next prime is 104147. The reversal of 104130 is 31401.

It can be written as a sum of positive squares in 4 ways, for example, as 47961 + 56169 = 219^2 + 237^2 .

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

It is a Curzon number.

It is an unprimeable number.

104130 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 23 ways as a sum of consecutive naturals, for example, 1126 + ... + 1214.

2104130 is an apocalyptic number.

104130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

104130 is an abundant number, since it is smaller than the sum of its proper divisors (190710).

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

104130 is a wasteful number, since it uses less digits than its factorization.

104130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 104130 is about 322.6918034286. The cubic root of 104130 is about 47.0462800515.

Adding to 104130 its reverse (31401), we get a palindrome (135531).

The spelling of 104130 in words is "one hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 89 90 117 130 178 195 234 267 390 445 534 585 801 890 1157 1170 1335 1602 2314 2670 3471 4005 5785 6942 8010 10413 11570 17355 20826 34710 52065 104130