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12773376 = 21134711
BaseRepresentation
bin110000101110…
…100000000000
3220000221210000
4300232200000
511232222001
61133440000
7213400110
oct60564000
926027700
1012773376
117234910
124340000
132853015
1419a7040
1511c4a86
hexc2e800

12773376 has 240 divisors, whose sum is σ = 47567520. Its totient is φ = 3317760.

The previous prime is 12773359. The next prime is 12773381. The reversal of 12773376 is 67337721.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12773376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161211 + ... + 1161221.

It is an arithmetic number, because the mean of its divisors is an integer number (198198).

Almost surely, 212773376 is an apocalyptic number.

12773376 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 12773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783760).

12773376 is an abundant number, since it is smaller than the sum of its proper divisors (34794144).

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

12773376 is an equidigital number, since it uses as much as digits as its factorization.

12773376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 12773376 is about 3573.9860100454. The cubic root of 12773376 is about 233.7591209611.

The spelling of 12773376 in words is "twelve million, seven hundred seventy-three thousand, three hundred seventy-six".