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10414640 = 245130183
BaseRepresentation
bin100111101110…
…101000110000
3201121010012102
4213232220300
510131232030
61011115532
7154344245
oct47565060
921533172
1010414640
115973745
1235a2ba8
132208512
1415515cc
15daac45
hex9eea30

10414640 has 20 divisors (see below), whose sum is σ = 24214224. Its totient is φ = 4165824.

The previous prime is 10414637. The next prime is 10414669. The reversal of 10414640 is 4641401.

It is a happy number.

10414640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65012 + ... + 65171.

Almost surely, 210414640 is an apocalyptic number.

10414640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414640 is an abundant number, since it is smaller than the sum of its proper divisors (13799584).

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

10414640 is a wasteful number, since it uses less digits than its factorization.

10414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130196 (or 130190 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10414640 is about 3227.1721367166. The cubic root of 10414640 is about 218.3809516141.

The spelling of 10414640 in words is "ten million, four hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 130183 260366 520732 650915 1041464 1301830 2082928 2603660 5207320 10414640