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127242 = 2327069
BaseRepresentation
bin11111000100001010
320110112200
4133010022
513032432
62421030
71036653
oct370412
9213480
10127242
1187665
1261776
1345bbb
143452a
1527a7c
hex1f10a

127242 has 12 divisors (see below), whose sum is σ = 275730. Its totient is φ = 42408.

The previous prime is 127241. The next prime is 127247. The reversal of 127242 is 242721.

It can be written as a sum of positive squares in only one way, i.e., 114921 + 12321 = 339^2 + 111^2 .

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: 7069 = 127242 / (1 + 2 + 7 + 2 + 4 + 2).

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (127241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3517 + ... + 3552.

2127242 is an apocalyptic number.

127242 is an abundant number, since it is smaller than the sum of its proper divisors (148488).

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

127242 is a wasteful number, since it uses less digits than its factorization.

127242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7074 counting only the distinct ones).

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

The square root of 127242 is about 356.7099662191. The cubic root of 127242 is about 50.2971637091.

Adding to 127242 its sum of digits (18), we get a triangular number (127260 = T504).

Adding to 127242 its reverse (242721), we get a palindrome (369963).

The spelling of 127242 in words is "one hundred twenty-seven thousand, two hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 7069 14138 21207 42414 63621 127242