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8030664 = 2331017
BaseRepresentation
bin11110101000100111001000
3120010000000000
4132220213020
54023440124
6444043000
7125155005
oct36504710
916100000
108030664
114595614
122833460
131882395
1410d08ac
15a896c9
hex7a89c8

8030664 has 88 divisors (see below), whose sum is σ = 23914710. Its totient is φ = 2519424.

The previous prime is 8030663. The next prime is 8030669. The reversal of 8030664 is 4660308.

It can be written as a sum of positive squares in only one way, i.e., 5904900 + 2125764 = 2430^2 + 1458^2 .

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 (8030663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 472384 + ... + 472400.

Almost surely, 28030664 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 8030664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957355).

8030664 is an abundant number, since it is smaller than the sum of its proper divisors (15884046).

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

8030664 is an equidigital number, since it uses as much as digits as its factorization.

8030664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8030664 is about 2833.8426208948. The cubic root of 8030664 is about 200.2552075404.

Subtracting from 8030664 its product of nonzero digits (3456), we obtain a palindrome (8027208).

The spelling of 8030664 in words is "eight million, thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2187 2754 2916 3672 4131 4374 5508 5832 6561 8262 8748 11016 12393 13122 16524 17496 19683 24786 26244 33048 37179 39366 49572 52488 59049 74358 78732 99144 111537 118098 148716 157464 223074 236196 297432 334611 446148 472392 669222 892296 1003833 1338444 2007666 2676888 4015332 8030664