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8090064 = 243361307
BaseRepresentation
bin11110110111000111010000
3120020000111000
4132313013100
54032340224
6445222000
7125523123
oct36670720
916200430
108090064
114626204
122861900
1318a3428
1411083ba
15a9c0c9
hex7b71d0

8090064 has 80 divisors (see below), whose sum is σ = 23679040. Its totient is φ = 2643840.

The previous prime is 8090057. The next prime is 8090081. The reversal of 8090064 is 4600908.

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

It is a congruent number.

It is an unprimeable number.

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, 26199 + ... + 26505.

It is an arithmetic number, because the mean of its divisors is an integer number (295988).

Almost surely, 28090064 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 8090064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839520).

8090064 is an abundant number, since it is smaller than the sum of its proper divisors (15588976).

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

8090064 is a wasteful number, since it uses less digits than its factorization.

8090064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

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

The square root of 8090064 is about 2844.3037812442. The cubic root of 8090064 is about 200.7477343164.

Subtracting from 8090064 its product of nonzero digits (1728), we obtain a square (8088336 = 28442).

The spelling of 8090064 in words is "eight million, ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 307 366 432 488 549 614 732 921 976 1098 1228 1464 1647 1842 2196 2456 2763 2928 3294 3684 4392 4912 5526 6588 7368 8289 8784 11052 13176 14736 16578 18727 22104 26352 33156 37454 44208 56181 66312 74908 112362 132624 149816 168543 224724 299632 337086 449448 505629 674172 898896 1011258 1348344 2022516 2696688 4045032 8090064