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120528 = 243531
BaseRepresentation
bin11101011011010000
320010100000
4131123100
512324103
62330000
71011252
oct353320
9203300
10120528
1182611
1259900
1342b25
1431cd2
1525aa3
hex1d6d0

120528 has 60 divisors (see below), whose sum is σ = 361088. Its totient is φ = 38880.

The previous prime is 120511. The next prime is 120539. The reversal of 120528 is 825021.

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 120528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3873 + ... + 3903.

2120528 is an apocalyptic number.

120528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180544).

120528 is an abundant number, since it is smaller than the sum of its proper divisors (240560).

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

120528 is an equidigital number, since it uses as much as digits as its factorization.

120528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120528 is about 347.1714273957. The cubic root of 120528 is about 49.3964778641.

Adding to 120528 its reverse (825021), we get a palindrome (945549).

The spelling of 120528 in words is "one hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4464 5022 6696 7533 10044 13392 15066 20088 30132 40176 60264 120528