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120520 = 23523131
BaseRepresentation
bin11101011011001000
320010022201
4131123020
512324040
62325544
71011241
oct353310
9203281
10120520
1182604
12598b4
1342b1a
1431cc8
1525a9a
hex1d6c8

120520 has 32 divisors (see below), whose sum is σ = 285120. Its totient is φ = 45760.

The previous prime is 120511. The next prime is 120539. The reversal of 120520 is 25021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120497 and 120506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855 + ... + 985.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2120520 is an apocalyptic number.

120520 is a gapful number since it is divisible by the number (10) 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 120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560).

120520 is an abundant number, since it is smaller than the sum of its proper divisors (164600).

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

120520 is a wasteful number, since it uses less digits than its factorization.

120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 120520 is about 347.1599055191. The cubic root of 120520 is about 49.3953849492.

Adding to 120520 its reverse (25021), we get a palindrome (145541).

It can be divided in two parts, 1205 and 20, that added together give a triangular number (1225 = T49).

The spelling of 120520 in words is "one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 131 184 230 262 460 524 655 920 1048 1310 2620 3013 5240 6026 12052 15065 24104 30130 60260 120520