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10414660 = 2251927407
BaseRepresentation
bin100111101110…
…101001000100
3201121010020011
4213232221010
510131232120
61011120004
7154344304
oct47565104
921533204
1010414660
115973763
1235a3004
132208529
141551604
15daac5a
hex9eea44

10414660 has 24 divisors (see below), whose sum is σ = 23022720. Its totient is φ = 3946464.

The previous prime is 10414637. The next prime is 10414669. The reversal of 10414660 is 6641401.

10414660 = T181 + T182 + ... + T408.

10414660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10414669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13324 + ... + 14083.

It is an arithmetic number, because the mean of its divisors is an integer number (959280).

Almost surely, 210414660 is an apocalyptic number.

10414660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414660 is an abundant number, since it is smaller than the sum of its proper divisors (12608060).

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

10414660 is a wasteful number, since it uses less digits than its factorization.

10414660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27435 (or 27433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10414660 is about 3227.1752354032. The cubic root of 10414660 is about 218.3810914051.

The spelling of 10414660 in words is "ten million, four hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 27407 54814 109628 137035 274070 520733 548140 1041466 2082932 2603665 5207330 10414660