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12389130 = 23251310589
BaseRepresentation
bin101111010000…
…101100001010
3212022102200200
4233100230022
511132423010
61121313030
7210206625
oct57205412
925272620
1012389130
116aa2156
124195776
13274a160
141906dbc
15114acc0
hexbd0b0a

12389130 has 48 divisors (see below), whose sum is σ = 34692840. Its totient is φ = 3049344.

The previous prime is 12389101. The next prime is 12389137. The reversal of 12389130 is 3198321.

It can be written as a sum of positive squares in 4 ways, for example, as 5212089 + 7177041 = 2283^2 + 2679^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12389094 and 12389103.

It is not an unprimeable number, because it can be changed into a prime (12389137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4125 + ... + 6464.

Almost surely, 212389130 is an apocalyptic number.

12389130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12389130 is an abundant number, since it is smaller than the sum of its proper divisors (22303710).

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

12389130 is a wasteful number, since it uses less digits than its factorization.

12389130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12389130 is about 3519.8195976499. The cubic root of 12389130 is about 231.3912523925.

It can be divided in two parts, 123 and 89130, that added together give a triangular number (89253 = T422).

The spelling of 12389130 in words is "twelve million, three hundred eighty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 10589 21178 31767 52945 63534 95301 105890 137657 158835 190602 275314 317670 412971 476505 688285 825942 953010 1238913 1376570 2064855 2477826 4129710 6194565 12389130