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263090016 = 253272103181
BaseRepresentation
bin11111010111001…
…10111101100000
3200100001100122200
433223212331200
51014322340031
642034533200
76343141200
oct1753467540
9610040580
10263090016
11125564472
1274137200
1342676887
1426d26400
151816c8e6
hexfae6f60

263090016 has 216 divisors, whose sum is σ = 883615824. Its totient is φ = 74027520.

The previous prime is 263089993. The next prime is 263090021. The reversal of 263090016 is 610090362.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1453446 + ... + 1453626.

It is an arithmetic number, because the mean of its divisors is an integer number (4090814).

Almost surely, 2263090016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441807912).

263090016 is an abundant number, since it is smaller than the sum of its proper divisors (620525808).

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

263090016 is a wasteful number, since it uses less digits than its factorization.

263090016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 263090016 is about 16220.0498149667. The cubic root of 263090016 is about 640.7689455509.

The spelling of 263090016 in words is "two hundred sixty-three million, ninety thousand, sixteen".