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12982620 = 2235730911
BaseRepresentation
bin110001100001…
…100101011100
3220102120210210
4301201211130
511310420440
61142132420
7215231130
oct61414534
926376723
1012982620
117368042
124421110
1328c7331
141a1d3c0
151216a80
hexc6195c

12982620 has 48 divisors (see below), whose sum is σ = 41545728. Its totient is φ = 2967360.

The previous prime is 12982601. The next prime is 12982621. The reversal of 12982620 is 2628921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982621) 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 15 ways as a sum of consecutive naturals, for example, 15036 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (865536).

Almost surely, 212982620 is an apocalyptic number.

12982620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12982620 is an abundant number, since it is smaller than the sum of its proper divisors (28563108).

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

12982620 is a wasteful number, since it uses less digits than its factorization.

12982620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30930 (or 30928 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12982620 is about 3603.1402970187. The cubic root of 12982620 is about 235.0286369206.

The spelling of 12982620 in words is "twelve million, nine hundred eighty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 30911 61822 92733 123644 154555 185466 216377 309110 370932 432754 463665 618220 649131 865508 927330 1081885 1298262 1854660 2163770 2596524 3245655 4327540 6491310 12982620