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12819132 = 2232973671
BaseRepresentation
bin110000111001…
…101010111100
3220010021112200
4300321222330
511240203012
61134431500
7213650364
oct60715274
926107480
1012819132
117266227
124362590
13286aab1
1419b99a4
1511d33dc
hexc39abc

12819132 has 36 divisors (see below), whose sum is σ = 32746896. Its totient is φ = 4227840.

The previous prime is 12819083. The next prime is 12819137. The reversal of 12819132 is 23191821.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12819096 and 12819105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12819137) 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 11 ways as a sum of consecutive naturals, for example, 1657 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (909636).

Almost surely, 212819132 is an apocalyptic number.

12819132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12819132 is an abundant number, since it is smaller than the sum of its proper divisors (19927764).

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

12819132 is a wasteful number, since it uses less digits than its factorization.

12819132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3773 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 12819132 is about 3580.3815439140. The cubic root of 12819132 is about 234.0379075120.

The spelling of 12819132 in words is "twelve million, eight hundred nineteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 3671 7342 11013 14684 22026 33039 44052 66078 132156 356087 712174 1068261 1424348 2136522 3204783 4273044 6409566 12819132