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12516820 = 2251932939
BaseRepresentation
bin101111101111…
…110111010100
3212112220211221
4233233313110
511201014240
61124140124
7211251121
oct57576724
925486757
1012516820
11707a088
124237644
132793304
14193b748
151173a4a
hexbefdd4

12516820 has 24 divisors (see below), whose sum is σ = 27669600. Its totient is φ = 4743072.

The previous prime is 12516809. The next prime is 12516821. The reversal of 12516820 is 2861521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12516821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16090 + ... + 16849.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900).

Almost surely, 212516820 is an apocalyptic number.

12516820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12516820 is an abundant number, since it is smaller than the sum of its proper divisors (15152780).

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

12516820 is a wasteful number, since it uses less digits than its factorization.

12516820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32967 (or 32965 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 12516820 is about 3537.9118134855. The cubic root of 12516820 is about 232.1834903908.

It can be divided in two parts, 125 and 16820, that multiplied together give a square (2102500 = 14502).

The spelling of 12516820 in words is "twelve million, five hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 32939 65878 131756 164695 329390 625841 658780 1251682 2503364 3129205 6258410 12516820