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10407141 = 321011072
BaseRepresentation
bin100111101100…
…110011100101
3201120201220200
4213230303211
510131012031
61011021113
7154313343
oct47546345
921521820
1010407141
115969048
12359a799
132204c94
14154c993
15da88e6
hex9ecce5

10407141 has 18 divisors (see below), whose sum is σ = 15324582. Its totient is φ = 6805200.

The previous prime is 10407127. The next prime is 10407169. The reversal of 10407141 is 14170401.

It can be written as a sum of positive squares in only one way, i.e., 10304100 + 103041 = 3210^2 + 321^2 .

It is not a de Polignac number, because 10407141 - 27 = 10407013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407181) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97210 + ... + 97316.

Almost surely, 210407141 is an apocalyptic number.

It is an amenable number.

10407141 is a deficient number, since it is larger than the sum of its proper divisors (4917441).

10407141 is a wasteful number, since it uses less digits than its factorization.

10407141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10407141 is about 3226.0100743798. The cubic root of 10407141 is about 218.3285243908.

Adding to 10407141 its reverse (14170401), we get a palindrome (24577542).

The spelling of 10407141 in words is "ten million, four hundred seven thousand, one hundred forty-one".

Divisors: 1 3 9 101 107 303 321 909 963 10807 11449 32421 34347 97263 103041 1156349 3469047 10407141