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9063680 = 2857397
BaseRepresentation
bin100010100100…
…110100000000
3122001111000212
4202210310000
54310014210
6522133252
7140016503
oct42446400
918044025
109063680
11513074a
123051228
131b54632
1412bd13a
15be0805
hex8a4d00

9063680 has 72 divisors (see below), whose sum is σ = 22234632. Its totient is φ = 3538944.

The previous prime is 9063667. The next prime is 9063697. The reversal of 9063680 is 863609.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 8111104 = 976^2 + 2848^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93392 + ... + 93488.

Almost surely, 29063680 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 9063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117316).

9063680 is an abundant number, since it is smaller than the sum of its proper divisors (13170952).

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

9063680 is an equidigital number, since it uses as much as digits as its factorization.

9063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 9063680 is about 3010.5946256512. The cubic root of 9063680 is about 208.4978213844.

The spelling of 9063680 in words is "nine million, sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 97 128 146 160 194 256 292 320 365 388 485 584 640 730 776 970 1168 1280 1460 1552 1940 2336 2920 3104 3880 4672 5840 6208 7081 7760 9344 11680 12416 14162 15520 18688 23360 24832 28324 31040 35405 46720 56648 62080 70810 93440 113296 124160 141620 226592 283240 453184 566480 906368 1132960 1812736 2265920 4531840 9063680