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120048 = 2434161
BaseRepresentation
bin11101010011110000
320002200020
4131103300
512320143
62323440
71006665
oct352360
9202606
10120048
1182215
1259580
1342846
1431a6c
1525883
hex1d4f0

120048 has 40 divisors (see below), whose sum is σ = 322896. Its totient is φ = 38400.

The previous prime is 120047. The next prime is 120049. The reversal of 120048 is 840021.

It is an interprime number because it is at equal distance from previous prime (120047) and next prime (120049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938 + ... + 1998.

2120048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448).

120048 is an abundant number, since it is smaller than the sum of its proper divisors (202848).

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

120048 is a wasteful number, since it uses less digits than its factorization.

120048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120048 is about 346.4794366193. The cubic root of 120048 is about 49.3308171755.

Adding to 120048 its reverse (840021), we get a palindrome (960069).

It can be divided in two parts, 1200 and 48, that multiplied together give a square (57600 = 2402).

The spelling of 120048 in words is "one hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 61 82 122 123 164 183 244 246 328 366 488 492 656 732 976 984 1464 1968 2501 2928 5002 7503 10004 15006 20008 30012 40016 60024 120048