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1050816 = 26313421
BaseRepresentation
bin100000000100011000000
31222101110010
410000203000
5232111231
634304520
711634414
oct4004300
91871403
101050816
11658548
12428140
132aa3b0
141d4d44
1515b546
hex1008c0

1050816 has 56 divisors (see below), whose sum is σ = 3001264. Its totient is φ = 322560.

The previous prime is 1050811. The next prime is 1050817. The reversal of 1050816 is 6180501.

It is a super-2 number, since 2×10508162 = 2208428531712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1050792 and 1050801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2286 + ... + 2706.

It is an arithmetic number, because the mean of its divisors is an integer number (53594).

21050816 is an apocalyptic number.

1050816 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 1050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500632).

1050816 is an abundant number, since it is smaller than the sum of its proper divisors (1950448).

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

1050816 is a wasteful number, since it uses less digits than its factorization.

1050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1050816 is about 1025.0931664976. The cubic root of 1050816 is about 101.6659583695.

The spelling of 1050816 in words is "one million, fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 421 624 832 842 1248 1263 1684 2496 2526 3368 5052 5473 6736 10104 10946 13472 16419 20208 21892 26944 32838 40416 43784 65676 80832 87568 131352 175136 262704 350272 525408 1050816