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801216 = 263213107
BaseRepresentation
bin11000011100111000000
31111201001200
43003213000
5201114331
625101200
76544623
oct3034700
91451050
10801216
114a7a69
12327800
132208c0
1416bdba
1510c5e6
hexc39c0

801216 has 84 divisors (see below), whose sum is σ = 2496312. Its totient is φ = 244224.

The previous prime is 801197. The next prime is 801217. The reversal of 801216 is 612108.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801217) by changing a digit.

801216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7435 + ... + 7541.

It is an arithmetic number, because the mean of its divisors is an integer number (29718).

2801216 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 801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248156).

801216 is an abundant number, since it is smaller than the sum of its proper divisors (1695096).

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

801216 is a wasteful number, since it uses less digits than its factorization.

801216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 801216 is about 895.1066975506. The cubic root of 801216 is about 92.8787876283.

It can be divided in two parts, 80 and 1216, that added together give a 4-th power (1296 = 64).

The spelling of 801216 in words is "eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 107 117 144 156 192 208 214 234 288 312 321 416 428 468 576 624 642 832 856 936 963 1248 1284 1391 1712 1872 1926 2496 2568 2782 3424 3744 3852 4173 5136 5564 6848 7488 7704 8346 10272 11128 12519 15408 16692 20544 22256 25038 30816 33384 44512 50076 61632 66768 89024 100152 133536 200304 267072 400608 801216