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122742 = 2332273
BaseRepresentation
bin11101111101110110
320020101000
4131331312
512411432
62344130
71020564
oct357566
9206330
10122742
1184244
125b046
1343b39
1432a34
152657c
hex1df76

122742 has 16 divisors (see below), whose sum is σ = 272880. Its totient is φ = 40896.

The previous prime is 122741. The next prime is 122743. The reversal of 122742 is 247221.

It is an interprime number because it is at equal distance from previous prime (122741) and next prime (122743).

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

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 122742.

It is not an unprimeable number, because it can be changed into a prime (122741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (17055).

2122742 is an apocalyptic number.

122742 is an abundant number, since it is smaller than the sum of its proper divisors (150138).

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

122742 is a wasteful number, since it uses less digits than its factorization.

122742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2278 counting only the distinct ones).

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

The square root of 122742 is about 350.3455437136. The cubic root of 122742 is about 49.6971020959.

Adding to 122742 its sum of digits (18), we get a triangular number (122760 = T495).

Adding to 122742 its reverse (247221), we get a palindrome (369963).

The spelling of 122742 in words is "one hundred twenty-two thousand, seven hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 54 2273 4546 6819 13638 20457 40914 61371 122742