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12926976 = 2143263
BaseRepresentation
bin110001010100…
…000000000000
3220022202110220
4301110000000
511302130401
61141023040
7214606656
oct61240000
926282426
1012926976
11732a257
1243b4a80
1328a7bca
141a06dd6
151205336
hexc54000

12926976 has 60 divisors (see below), whose sum is σ = 34601952. Its totient is φ = 4292608.

The previous prime is 12926957. The next prime is 12926981. The reversal of 12926976 is 67962921.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49021 + ... + 49283.

Almost surely, 212926976 is an apocalyptic number.

12926976 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 12926976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300976).

12926976 is an abundant number, since it is smaller than the sum of its proper divisors (21674976).

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

12926976 is an frugal number, since it uses more digits than its factorization.

12926976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 12926976 is about 3595.4104077282. The cubic root of 12926976 is about 234.6923755121.

The spelling of 12926976 in words is "twelve million, nine hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 263 384 512 526 768 789 1024 1052 1536 1578 2048 2104 3072 3156 4096 4208 6144 6312 8192 8416 12288 12624 16384 16832 24576 25248 33664 49152 50496 67328 100992 134656 201984 269312 403968 538624 807936 1077248 1615872 2154496 3231744 4308992 6463488 12926976