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407142 = 23222619
BaseRepresentation
bin1100011011001100110
3202200111100
41203121212
5101012032
612420530
73314001
oct1433146
9680440
10407142
1125898a
12177746
13113418
14a8538
158097c
hex63666

407142 has 12 divisors (see below), whose sum is σ = 882180. Its totient is φ = 135708.

The previous prime is 407137. The next prime is 407149. The reversal of 407142 is 241704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 22619 = 407142 / (4 + 0 + 7 + 1 + 4 + 2).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407142.

It is not an unprimeable number, because it can be changed into a prime (407149) by changing a digit.

407142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11292 + ... + 11327.

It is an arithmetic number, because the mean of its divisors is an integer number (73515).

2407142 is an apocalyptic number.

407142 is an abundant number, since it is smaller than the sum of its proper divisors (475038).

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

407142 is a wasteful number, since it uses less digits than its factorization.

407142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22627 (or 22624 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 407142 is about 638.0767978856. The cubic root of 407142 is about 74.1165681671.

Adding to 407142 its reverse (241704), we get a palindrome (648846).

The spelling of 407142 in words is "four hundred seven thousand, one hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 22619 45238 67857 135714 203571 407142