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123048 = 23321709
BaseRepresentation
bin11110000010101000
320020210100
4132002220
512414143
62345400
71021512
oct360250
9206710
10123048
11844a2
125b260
1344013
1432bb2
15266d3
hex1e0a8

123048 has 24 divisors (see below), whose sum is σ = 333450. Its totient is φ = 40992.

The previous prime is 123031. The next prime is 123049. The reversal of 123048 is 840321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 6084 = 342^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 123048.

It is not an unprimeable number, because it can be changed into a prime (123049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 783 + ... + 926.

2123048 is an apocalyptic number.

123048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123048 is an abundant number, since it is smaller than the sum of its proper divisors (210402).

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

123048 is a wasteful number, since it uses less digits than its factorization.

123048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1714 counting only the distinct ones).

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

The square root of 123048 is about 350.7819835738. The cubic root of 123048 is about 49.7383666814.

Adding to 123048 its reverse (840321), we get a palindrome (963369).

The spelling of 123048 in words is "one hundred twenty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1709 3418 5127 6836 10254 13672 15381 20508 30762 41016 61524 123048