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12329955 = 3351119223
BaseRepresentation
bin101111000010…
…001111100011
3212012102112000
4233002033203
511124024310
61120135043
7206542251
oct57021743
925172460
1012329955
116a61750
124167483
132729241
1418cd5d1
1511384c0
hexbc23e3

12329955 has 96 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 5417280.

The previous prime is 12329953. The next prime is 12329957. The reversal of 12329955 is 55992321.

It is a happy number.

12329955 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12329953) and next prime (12329957).

It is not a de Polignac number, because 12329955 - 21 = 12329953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12329953) 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 95 ways as a sum of consecutive naturals, for example, 536074 + ... + 536096.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 212329955 is an apocalyptic number.

12329955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12329955 is an abundant number, since it is smaller than the sum of its proper divisors (14004765).

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

12329955 is a wasteful number, since it uses less digits than its factorization.

12329955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 12329955 is about 3511.4035655276. The cubic root of 12329955 is about 231.0222613055.

The spelling of 12329955 in words is "twelve million, three hundred twenty-nine thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 11 15 19 23 27 33 45 55 57 69 95 99 115 135 165 171 207 209 253 285 297 345 361 437 495 513 621 627 759 855 1035 1045 1083 1265 1311 1485 1805 1881 2185 2277 2565 3105 3135 3249 3795 3933 3971 4807 5415 5643 6555 6831 8303 9405 9747 11385 11799 11913 14421 16245 19665 19855 24035 24909 28215 34155 35739 41515 43263 48735 58995 59565 72105 74727 91333 107217 124545 129789 178695 216315 224181 273999 373635 456665 536085 648945 821997 1120905 1369995 2465991 4109985 12329955