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8220672 = 21232223
BaseRepresentation
bin11111010111000000000000
3120110122122100
4133113000000
54101030142
6452110400
7126605655
oct37270000
916418570
108220672
114705349
122905400
13191aa05
14113dc2c
15ac5b4c
hex7d7000

8220672 has 78 divisors (see below), whose sum is σ = 23852192. Its totient is φ = 2727936.

The previous prime is 8220649. The next prime is 8220689. The reversal of 8220672 is 2760228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36753 + ... + 36975.

Almost surely, 28220672 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 8220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926096).

8220672 is an abundant number, since it is smaller than the sum of its proper divisors (15631520).

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

8220672 is a wasteful number, since it uses less digits than its factorization.

8220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8220672 is about 2867.1714284291. The cubic root of 8220672 is about 201.8222793953.

The spelling of 8220672 in words is "eight million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 384 446 512 576 669 768 892 1024 1152 1338 1536 1784 2007 2048 2304 2676 3072 3568 4014 4096 4608 5352 6144 7136 8028 9216 10704 12288 14272 16056 18432 21408 28544 32112 36864 42816 57088 64224 85632 114176 128448 171264 228352 256896 342528 456704 513792 685056 913408 1027584 1370112 2055168 2740224 4110336 8220672