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12978042 = 2372114013
BaseRepresentation
bin110001100000…
…011101111010
3220102100112020
4301200131322
511310244132
61142055310
7215211600
oct61403572
926370466
1012978042
117364660
12441a536
1328c521c
141a1b870
15121552c
hexc6077a

12978042 has 48 divisors (see below), whose sum is σ = 32946912. Its totient is φ = 3370080.

The previous prime is 12978023. The next prime is 12978047. The reversal of 12978042 is 24087921.

It is a happy number.

12978042 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 (33).

12978042 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 12977994 and 12978012.

It is not an unprimeable number, because it can be changed into a prime (12978047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228 + ... + 5240.

It is an arithmetic number, because the mean of its divisors is an integer number (686394).

Almost surely, 212978042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12978042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473456).

12978042 is an abundant number, since it is smaller than the sum of its proper divisors (19968870).

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

12978042 is a wasteful number, since it uses less digits than its factorization.

12978042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12978042 is about 3602.5049618286. The cubic root of 12978042 is about 235.0010079933.

It can be divided in two parts, 1297 and 8042, that added together give a palindrome (9339).

The spelling of 12978042 in words is "twelve million, nine hundred seventy-eight thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 4013 8026 12039 24078 28091 44143 56182 84273 88286 132429 168546 196637 264858 309001 393274 589911 618002 927003 1179822 1854006 2163007 4326014 6489021 12978042