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120020 = 22517353
BaseRepresentation
bin11101010011010100
320002122012
4131103110
512320040
62323352
71006625
oct352324
9202565
10120020
118219a
1259558
1342824
1431a4c
1525865
hex1d4d4

120020 has 24 divisors (see below), whose sum is σ = 267624. Its totient is φ = 45056.

The previous prime is 120017. The next prime is 120041. The reversal of 120020 is 20021.

120020 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 20164 + 99856 = 142^2 + 316^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 119986 and 120013.

It is a congruent number.

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, 164 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (11151).

2120020 is an apocalyptic number.

120020 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 120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133812).

120020 is an abundant number, since it is smaller than the sum of its proper divisors (147604).

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

120020 is a wasteful number, since it uses less digits than its factorization.

120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 120020 is about 346.4390278245. The cubic root of 120020 is about 49.3269815700.

Adding to 120020 its reverse (20021), we get a palindrome (140041).

Subtracting from 120020 its reverse (20021), we obtain a palindrome (99999).

The spelling of 120020 in words is "one hundred twenty thousand, twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 353 706 1412 1765 3530 6001 7060 12002 24004 30005 60010 120020