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12610020 = 2235732879
BaseRepresentation
bin110000000110…
…100111100100
3212201122200210
4300012213210
511212010040
61130135420
7212116623
oct60064744
925648623
1012610020
117133105
124281570
1327c6867
1419636ba
151191480
hexc069e4

12610020 has 48 divisors (see below), whose sum is σ = 35804160. Its totient is φ = 3315456.

The previous prime is 12609997. The next prime is 12610027. The reversal of 12610020 is 2001621.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12609978 and 12610005.

It is not an unprimeable number, because it can be changed into a prime (12610027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2941 + ... + 5819.

It is an arithmetic number, because the mean of its divisors is an integer number (745920).

Almost surely, 212610020 is an apocalyptic number.

12610020 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 12610020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902080).

12610020 is an abundant number, since it is smaller than the sum of its proper divisors (23194140).

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

12610020 is a wasteful number, since it uses less digits than its factorization.

12610020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12610020 is about 3551.0589969754. The cubic root of 12610020 is about 232.7583438888.

Adding to 12610020 its reverse (2001621), we get a palindrome (14611641).

The spelling of 12610020 in words is "twelve million, six hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 2879 4380 5758 8637 11516 14395 17274 28790 34548 43185 57580 86370 172740 210167 420334 630501 840668 1050835 1261002 2101670 2522004 3152505 4203340 6305010 12610020