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7064064 = 2933773
BaseRepresentation
bin11010111100101000000000
3111021220002000
4122330220000
53302022224
6411224000
7114020640
oct32745000
914256060
107064064
113a95377
122448000
131604427
14d1c520
159480c9
hex6bca00

7064064 has 160 divisors (see below), whose sum is σ = 24224640. Its totient is φ = 1990656.

The previous prime is 7064039. The next prime is 7064089. The reversal of 7064064 is 4604607.

It is an interprime number because it is at equal distance from previous prime (7064039) and next prime (7064089).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96732 + ... + 96804.

It is an arithmetic number, because the mean of its divisors is an integer number (151404).

Almost surely, 27064064 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 7064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12112320).

7064064 is an abundant number, since it is smaller than the sum of its proper divisors (17160576).

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

7064064 is an equidigital number, since it uses as much as digits as its factorization.

7064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7064064 is about 2657.8306943822. The cubic root of 7064064 is about 191.8749185314.

The spelling of 7064064 in words is "seven million, sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 73 84 96 108 112 126 128 144 146 168 189 192 216 219 224 252 256 288 292 336 378 384 432 438 448 504 511 512 576 584 657 672 756 768 864 876 896 1008 1022 1152 1168 1314 1344 1512 1533 1536 1728 1752 1792 1971 2016 2044 2304 2336 2628 2688 3024 3066 3456 3504 3584 3942 4032 4088 4599 4608 4672 5256 5376 6048 6132 6912 7008 7884 8064 8176 9198 9344 10512 10752 12096 12264 13797 13824 14016 15768 16128 16352 18396 18688 21024 24192 24528 27594 28032 31536 32256 32704 36792 37376 42048 48384 49056 55188 56064 63072 65408 73584 84096 96768 98112 110376 112128 126144 130816 147168 168192 196224 220752 252288 261632 294336 336384 392448 441504 504576 588672 784896 883008 1009152 1177344 1766016 2354688 3532032 7064064