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8073216 = 2123373
BaseRepresentation
bin11110110011000000000000
3120012011101000
4132303000000
54031320331
6445012000
7125423034
oct36630000
916164330
108073216
114614588
122854000
131898868
1411021c4
15a970e6
hex7b3000

8073216 has 104 divisors (see below), whose sum is σ = 24245360. Its totient is φ = 2654208.

The previous prime is 8073203. The next prime is 8073229. The reversal of 8073216 is 6123708.

It is an interprime number because it is at equal distance from previous prime (8073203) and next prime (8073229).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8073216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110556 + ... + 110628.

Almost surely, 28073216 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 8073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122680).

8073216 is an abundant number, since it is smaller than the sum of its proper divisors (16172144).

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

8073216 is an equidigital number, since it uses as much as digits as its factorization.

8073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8073216 is about 2841.3405286942. The cubic root of 8073216 is about 200.6082814263.

The spelling of 8073216 in words is "eight million, seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 384 432 438 512 576 584 657 768 864 876 1024 1152 1168 1314 1536 1728 1752 1971 2048 2304 2336 2628 3072 3456 3504 3942 4096 4608 4672 5256 6144 6912 7008 7884 9216 9344 10512 12288 13824 14016 15768 18432 18688 21024 27648 28032 31536 36864 37376 42048 55296 56064 63072 74752 84096 110592 112128 126144 149504 168192 224256 252288 299008 336384 448512 504576 672768 897024 1009152 1345536 2018304 2691072 4036608 8073216