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12965946 = 237308713
BaseRepresentation
bin110001011101…
…100000111010
3220101201221020
4301131200322
511304402241
61141523310
7215131410
oct61354072
926351836
1012965946
117356564
124413536
1328bc876
141a172b0
151211b66
hexc5d83a

12965946 has 16 divisors (see below), whose sum is σ = 29636544. Its totient is φ = 3704544.

The previous prime is 12965941. The next prime is 12965957. The reversal of 12965946 is 64956921.

It is a happy number.

12965946 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 308713 = 12965946 / (1 + 2 + 9 + 6 + 5 + 9 + 4 + 6).

12965946 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 12965898 and 12965907.

It is not an unprimeable number, because it can be changed into a prime (12965941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154315 + ... + 154398.

It is an arithmetic number, because the mean of its divisors is an integer number (1852284).

Almost surely, 212965946 is an apocalyptic number.

12965946 is an abundant number, since it is smaller than the sum of its proper divisors (16670598).

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

12965946 is a wasteful number, since it uses less digits than its factorization.

12965946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308725.

The product of its digits is 116640, while the sum is 42.

The square root of 12965946 is about 3600.8257386327. The cubic root of 12965946 is about 234.9279755133.

The spelling of 12965946 in words is "twelve million, nine hundred sixty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 308713 617426 926139 1852278 2160991 4321982 6482973 12965946