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12982368 = 253719319
BaseRepresentation
bin110001100001…
…100001100000
3220102120110110
4301201201200
511310413433
61142131320
7215230320
oct61414140
926376413
1012982368
117367933
124420b40
1328c7199
141a1d280
151216963
hexc61860

12982368 has 48 divisors (see below), whose sum is σ = 38949120. Its totient is φ = 3709056.

The previous prime is 12982367. The next prime is 12982369. The reversal of 12982368 is 86328921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12982367) and next prime (12982369).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982367) 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, 8988 + ... + 10331.

It is an arithmetic number, because the mean of its divisors is an integer number (811440).

Almost surely, 212982368 is an apocalyptic number.

It is an amenable number.

12982368 is an abundant number, since it is smaller than the sum of its proper divisors (25966752).

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

12982368 is a wasteful number, since it uses less digits than its factorization.

12982368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19339 (or 19331 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 12982368 is about 3603.1053273531. The cubic root of 12982368 is about 235.0271162312.

The spelling of 12982368 in words is "twelve million, nine hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19319 38638 57957 77276 115914 135233 154552 231828 270466 309104 405699 463656 540932 618208 811398 927312 1081864 1622796 1854624 2163728 3245592 4327456 6491184 12982368