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12932256 = 253235857
BaseRepresentation
bin110001010101…
…010010100000
3220100000201110
4301111102200
511302313011
61141103320
7214631241
oct61252240
926300643
1012932256
117333217
1243b7b40
1328aa42c
141a08cc8
151206ba6
hexc554a0

12932256 has 48 divisors (see below), whose sum is σ = 35429184. Its totient is φ = 4122624.

The previous prime is 12932243. The next prime is 12932263. The reversal of 12932256 is 65223921.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 5136.

It is an arithmetic number, because the mean of its divisors is an integer number (738108).

Almost surely, 212932256 is an apocalyptic number.

12932256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12932256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714592).

12932256 is an abundant number, since it is smaller than the sum of its proper divisors (22496928).

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

12932256 is a wasteful number, since it uses less digits than its factorization.

12932256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5885 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 12932256 is about 3596.1446022094. The cubic root of 12932256 is about 234.7243243883.

It can be divided in two parts, 129 and 32256, that added together give a triangular number (32385 = T254).

The spelling of 12932256 in words is "twelve million, nine hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5857 11714 17571 23428 35142 46856 70284 93712 134711 140568 187424 269422 281136 404133 538844 562272 808266 1077688 1616532 2155376 3233064 4310752 6466128 12932256