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8220096 = 26336771
BaseRepresentation
bin11111010110110111000000
3120110121212000
4133112313000
54101020341
6452104000
7126604203
oct37266700
916417760
108220096
114704975
122905000
13191a681
14113d93a
15ac58b6
hex7d6dc0

8220096 has 112 divisors (see below), whose sum is σ = 24871680. Its totient is φ = 2661120.

The previous prime is 8220089. The next prime is 8220097. The reversal of 8220096 is 6900228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115741 + ... + 115811.

Almost surely, 28220096 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 8220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435840).

8220096 is an abundant number, since it is smaller than the sum of its proper divisors (16651584).

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

8220096 is a wasteful number, since it uses less digits than its factorization.

8220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8220096 is about 2867.0709792400. The cubic root of 8220096 is about 201.8175655735.

The spelling of 8220096 in words is "eight million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 71 72 96 108 134 142 144 192 201 213 216 268 284 288 402 426 432 536 568 576 603 639 804 852 864 1072 1136 1206 1278 1608 1704 1728 1809 1917 2144 2272 2412 2556 3216 3408 3618 3834 4288 4544 4757 4824 5112 6432 6816 7236 7668 9514 9648 10224 12864 13632 14271 14472 15336 19028 19296 20448 28542 28944 30672 38056 38592 40896 42813 57084 57888 61344 76112 85626 114168 115776 122688 128439 152224 171252 228336 256878 304448 342504 456672 513756 685008 913344 1027512 1370016 2055024 2740032 4110048 8220096