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12130260 = 2235414931
BaseRepresentation
bin101110010001…
…011111010100
3211211021120220
4232101133110
511101132020
61111554340
7205051122
oct56213724
924737526
1012130260
11693570a
12408b9b0
13268938c
14187a912
1510e9240
hexb917d4

12130260 has 48 divisors (see below), whose sum is σ = 34800192. Its totient is φ = 3155200.

The previous prime is 12130259. The next prime is 12130289. The reversal of 12130260 is 6203121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6 + ... + 4925.

It is an arithmetic number, because the mean of its divisors is an integer number (725004).

Almost surely, 212130260 is an apocalyptic number.

12130260 is a gapful number since it is divisible by the number (10) 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 12130260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400096).

12130260 is an abundant number, since it is smaller than the sum of its proper divisors (22669932).

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

12130260 is a wasteful number, since it uses less digits than its factorization.

12130260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12130260 is about 3482.8522793825. The cubic root of 12130260 is about 229.7682606003.

Adding to 12130260 its sum of digits (15), we get a triangular number (12130275 = T4925).

Adding to 12130260 its reverse (6203121), we get a palindrome (18333381).

It can be divided in two parts, 121 and 30260, that added together give a triangular number (30381 = T246).

The spelling of 12130260 in words is "twelve million, one hundred thirty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4931 9862 14793 19724 24655 29586 49310 59172 73965 98620 147930 202171 295860 404342 606513 808684 1010855 1213026 2021710 2426052 3032565 4043420 6065130 12130260