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10806012 = 22327137313
BaseRepresentation
bin101001001110…
…001011111100
3202100000001200
4221032023330
510231243022
61023335500
7160564260
oct51161374
922300050
1010806012
116110798
123751590
1323146b9
1416140a0
15e36bac
hexa4e2fc

10806012 has 72 divisors (see below), whose sum is σ = 31545696. Its totient is φ = 3055104.

The previous prime is 10805983. The next prime is 10806017. The reversal of 10806012 is 21060801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34368 + ... + 34680.

Almost surely, 210806012 is an apocalyptic number.

10806012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

10806012 is the 1644-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10806012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772848).

10806012 is an abundant number, since it is smaller than the sum of its proper divisors (20739684).

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

10806012 is a wasteful number, since it uses less digits than its factorization.

10806012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10806012 is about 3287.2499144422. The cubic root of 10806012 is about 221.0828978608.

Adding to 10806012 its reverse (21060801), we get a palindrome (31866813).

The spelling of 10806012 in words is "ten million, eight hundred six thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 313 411 548 626 822 939 959 1233 1252 1644 1878 1918 2191 2466 2817 2877 3756 3836 4382 4932 5634 5754 6573 8631 8764 11268 11508 13146 17262 19719 26292 34524 39438 42881 78876 85762 128643 171524 257286 300167 385929 514572 600334 771858 900501 1200668 1543716 1801002 2701503 3602004 5403006 10806012