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12716130 = 2357193187
BaseRepresentation
bin110000100000…
…100001100010
3212221001020210
4300200201202
511223404010
61132314550
7213041160
oct60404142
925831223
1012716130
1171a58a9
124312a56
132832c4b
141990230
1511b2b20
hexc20862

12716130 has 64 divisors (see below), whose sum is σ = 36725760. Its totient is φ = 2752704.

The previous prime is 12716113. The next prime is 12716147. The reversal of 12716130 is 3161721.

It is an interprime number because it is at equal distance from previous prime (12716113) and next prime (12716147).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12716097 and 12716106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2397 + ... + 5583.

It is an arithmetic number, because the mean of its divisors is an integer number (573840).

Almost surely, 212716130 is an apocalyptic number.

12716130 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 12716130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362880).

12716130 is an abundant number, since it is smaller than the sum of its proper divisors (24009630).

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

12716130 is a wasteful number, since it uses less digits than its factorization.

12716130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 12716130 is about 3565.9683116932. The cubic root of 12716130 is about 233.4093879059.

Adding to 12716130 its reverse (3161721), we get a palindrome (15877851).

The spelling of 12716130 in words is "twelve million, seven hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3187 3990 6374 9561 15935 19122 22309 31870 44618 47805 60553 66927 95610 111545 121106 133854 181659 223090 302765 334635 363318 423871 605530 669270 847742 908295 1271613 1816590 2119355 2543226 4238710 6358065 12716130