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12776232 = 2337113673
BaseRepresentation
bin110000101111…
…001100101000
3220001002200210
4300233030220
511232314412
61133501120
7213411330
oct60571450
926032623
1012776232
117236a77
1243417a0
132854401
1419a80c0
1511c583c
hexc2f328

12776232 has 64 divisors (see below), whose sum is σ = 36881280. Its totient is φ = 3612672.

The previous prime is 12776213. The next prime is 12776243. The reversal of 12776232 is 23267721.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12776232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18648 + ... + 19320.

It is an arithmetic number, because the mean of its divisors is an integer number (576270).

Almost surely, 212776232 is an apocalyptic number.

12776232 is a gapful number since it is divisible by the number (12) 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 12776232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440640).

12776232 is an abundant number, since it is smaller than the sum of its proper divisors (24105048).

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

12776232 is a wasteful number, since it uses less digits than its factorization.

12776232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 12776232 is about 3574.3855416001. The cubic root of 12776232 is about 233.7765417353.

The spelling of 12776232 in words is "twelve million, seven hundred seventy-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 673 678 791 904 1346 1356 1582 2019 2373 2692 2712 3164 4038 4711 4746 5384 6328 8076 9422 9492 14133 16152 18844 18984 28266 37688 56532 76049 113064 152098 228147 304196 456294 532343 608392 912588 1064686 1597029 1825176 2129372 3194058 4258744 6388116 12776232