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416142 = 23261379
BaseRepresentation
bin1100101100110001110
3210010211200
41211212032
5101304032
612530330
73352146
oct1454616
9703750
10416142
11264721
121809a6
1311754c
14ab926
158347c
hex6598e

416142 has 24 divisors (see below), whose sum is σ = 918840. Its totient is φ = 136080.

The previous prime is 416107. The next prime is 416147. The reversal of 416142 is 241614.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416147) by changing a digit.

416142 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 11 ways as a sum of consecutive naturals, for example, 909 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (38285).

2416142 is an apocalyptic number.

416142 is an abundant number, since it is smaller than the sum of its proper divisors (502698).

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

416142 is a wasteful number, since it uses less digits than its factorization.

416142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 416142 is about 645.0906912985. The cubic root of 416142 is about 74.6587160256.

Adding to 416142 its reverse (241614), we get a palindrome (657756).

It can be divided in two parts, 41614 and 2, that added together give a triangular number (41616 = T288).

The spelling of 416142 in words is "four hundred sixteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 379 549 758 1098 1137 2274 3411 6822 23119 46238 69357 138714 208071 416142