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1306242 = 232721481
BaseRepresentation
bin100111110111010000010
32110100211100
410332322002
5313244432
643555230
714050200
oct4767202
92410740
101306242
11812443
1252bb16
13369732
14260070
151ac07c
hex13ee82

1306242 has 36 divisors (see below), whose sum is σ = 3294486. Its totient is φ = 372960.

The previous prime is 1306241. The next prime is 1306243. The reversal of 1306242 is 2426031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1306241) and next prime (1306243).

It can be written as a sum of positive squares in only one way, i.e., 1147041 + 159201 = 1071^2 + 399^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1306241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142 + ... + 1622.

21306242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647243).

1306242 is an abundant number, since it is smaller than the sum of its proper divisors (1988244).

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

1306242 is a wasteful number, since it uses less digits than its factorization.

1306242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1306242 is about 1142.9094452318. The cubic root of 1306242 is about 109.3136883040.

The spelling of 1306242 in words is "one million, three hundred six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1481 2962 4443 8886 10367 13329 20734 26658 31101 62202 72569 93303 145138 186606 217707 435414 653121 1306242