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12924032 = 271167137
BaseRepresentation
bin110001010011…
…010010000000
3220022121102212
4301103102000
511302032112
61141001252
7214565252
oct61232200
926277385
1012924032
117328020
1243b3228
1328a6774
141a05cd2
151204522
hexc53480

12924032 has 64 divisors (see below), whose sum is σ = 28715040. Its totient is φ = 5744640.

The previous prime is 12924031. The next prime is 12924089. The reversal of 12924032 is 23042921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12923989 and 12924007.

It is not an unprimeable number, because it can be changed into a prime (12924031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94268 + ... + 94404.

Almost surely, 212924032 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 12924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14357520).

12924032 is an abundant number, since it is smaller than the sum of its proper divisors (15791008).

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

12924032 is a wasteful number, since it uses less digits than its factorization.

12924032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 12924032 is about 3595.0009735743. Note that the first 3 decimals coincide. The cubic root of 12924032 is about 234.6745578154.

Adding to 12924032 its reverse (23042921), we get a palindrome (35966953).

The spelling of 12924032 in words is "twelve million, nine hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 137 176 268 274 352 536 548 704 737 1072 1096 1408 1474 1507 2144 2192 2948 3014 4288 4384 5896 6028 8576 8768 9179 11792 12056 17536 18358 23584 24112 36716 47168 48224 73432 94336 96448 100969 146864 192896 201938 293728 403876 587456 807752 1174912 1615504 3231008 6462016 12924032