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9060064 = 251329751
BaseRepresentation
bin100010100011…
…111011100000
3122001022001221
4202203323200
54304410224
6522104424
7140003116
oct42437340
918038057
109060064
115128a62
12304b114
131b52ab0
1412bbab6
15bde6e4
hex8a3ee0

9060064 has 48 divisors (see below), whose sum is σ = 19897920. Its totient is φ = 4032000.

The previous prime is 9060061. The next prime is 9060067. The reversal of 9060064 is 4600609.

It is an interprime number because it is at equal distance from previous prime (9060061) and next prime (9060067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9060061) 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 7 ways as a sum of consecutive naturals, for example, 11689 + ... + 12439.

It is an arithmetic number, because the mean of its divisors is an integer number (414540).

Almost surely, 29060064 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 9060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948960).

9060064 is an abundant number, since it is smaller than the sum of its proper divisors (10837856).

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

9060064 is a wasteful number, since it uses less digits than its factorization.

9060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 9060064 is about 3009.9940199276. The cubic root of 9060064 is about 208.4700906170.

The spelling of 9060064 in words is "nine million, sixty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 751 754 928 1502 1508 3004 3016 6008 6032 9763 12016 12064 19526 21779 24032 39052 43558 78104 87116 156208 174232 283127 312416 348464 566254 696928 1132508 2265016 4530032 9060064