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12329936 = 241940559
BaseRepresentation
bin101111000010…
…001111010000
3212012102111022
4233002033100
511124024221
61120135012
7206542223
oct57021720
925172438
1012329936
116a61733
124167468
132729228
1418cd5ba
1511384ab
hexbc23d0

12329936 has 20 divisors (see below), whose sum is σ = 25147200. Its totient is φ = 5840352.

The previous prime is 12329903. The next prime is 12329953. The reversal of 12329936 is 63992321.

It is a super-3 number, since 3×123299363 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12329896 and 12329905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19976 + ... + 20583.

It is an arithmetic number, because the mean of its divisors is an integer number (1257360).

Almost surely, 212329936 is an apocalyptic number.

12329936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12329936 is an abundant number, since it is smaller than the sum of its proper divisors (12817264).

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

12329936 is a wasteful number, since it uses less digits than its factorization.

12329936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40586 (or 40580 counting only the distinct ones).

The product of its digits is 17496, while the sum is 35.

The square root of 12329936 is about 3511.4008600557. The cubic root of 12329936 is about 231.0221426398.

The spelling of 12329936 in words is "twelve million, three hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 40559 81118 162236 324472 648944 770621 1541242 3082484 6164968 12329936