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12777216 = 283127131
BaseRepresentation
bin110000101111…
…011100000000
3220001011001020
4300233130000
511232332331
61133505440
7213414234
oct60573400
926034036
1012777216
117237791
124342280
1328549aa
1419a85c4
1511c5c96
hexc2f700

12777216 has 72 divisors (see below), whose sum is σ = 34535424. Its totient is φ = 4193280.

The previous prime is 12777209. The next prime is 12777221. The reversal of 12777216 is 61277721.

It is a happy number.

It is a congruent number.

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, 97471 + ... + 97601.

Almost surely, 212777216 is an apocalyptic number.

12777216 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 12777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267712).

12777216 is an abundant number, since it is smaller than the sum of its proper divisors (21758208).

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

12777216 is a wasteful number, since it uses less digits than its factorization.

12777216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 12777216 is about 3574.5231849857. The cubic root of 12777216 is about 233.7825432495.

The spelling of 12777216 in words is "twelve million, seven hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 131 192 254 256 262 381 384 393 508 524 762 768 786 1016 1048 1524 1572 2032 2096 3048 3144 4064 4192 6096 6288 8128 8384 12192 12576 16256 16637 16768 24384 25152 32512 33274 33536 48768 49911 50304 66548 97536 99822 100608 133096 199644 266192 399288 532384 798576 1064768 1597152 2129536 3194304 4259072 6388608 12777216