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12842076 = 22313191431
BaseRepresentation
bin110000111111…
…010001011100
3220011110000110
4300333101130
511241421301
61135130020
7214104312
oct60772134
926143013
1012842076
117281495
124373910
132878380
1419c40b2
1511da0d6
hexc3f45c

12842076 has 48 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 3921600.

The previous prime is 12842069. The next prime is 12842083. The reversal of 12842076 is 67024821.

It is an interprime number because it is at equal distance from previous prime (12842069) and next prime (12842083).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29581 + ... + 30011.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 212842076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12842076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

12842076 is an abundant number, since it is smaller than the sum of its proper divisors (19671972).

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

12842076 is a wasteful number, since it uses less digits than its factorization.

12842076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12842076 is about 3583.5842392778. The cubic root of 12842076 is about 234.1774532391.

Adding to 12842076 its reverse (67024821), we get a palindrome (79866897).

The spelling of 12842076 in words is "twelve million, eight hundred forty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 431 573 764 862 1146 1293 1724 2292 2483 2586 4966 5172 5603 7449 9932 11206 14898 16809 22412 29796 33618 67236 82321 164642 246963 329284 493926 987852 1070173 2140346 3210519 4280692 6421038 12842076