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10006064 = 241736787
BaseRepresentation
bin100110001010…
…111000110000
3200211100201222
4212022320300
510030143224
6554244212
7151023125
oct46127060
920740658
1010006064
115714782
123426668
1320c4563
14148674c
15d29b5e
hex98ae30

10006064 has 20 divisors (see below), whose sum is σ = 20527704. Its totient is φ = 4708608.

The previous prime is 10006063. The next prime is 10006067. The reversal of 10006064 is 46060001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10006063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18122 + ... + 18665.

Almost surely, 210006064 is an apocalyptic number.

It is an amenable number.

10006064 is an abundant number, since it is smaller than the sum of its proper divisors (10521640).

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

10006064 is a wasteful number, since it uses less digits than its factorization.

10006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36812 (or 36806 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10006064 is about 3163.2363174445. The cubic root of 10006064 is about 215.4870085101.

Adding to 10006064 its reverse (46060001), we get a palindrome (56066065).

The spelling of 10006064 in words is "ten million, six thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 36787 73574 147148 294296 588592 625379 1250758 2501516 5003032 10006064