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120114 = 2326673
BaseRepresentation
bin11101010100110010
320002202200
4131110302
512320424
62324030
71010121
oct352462
9202680
10120114
1182275
1259616
1342897
1431ab8
15258c9
hex1d532

120114 has 12 divisors (see below), whose sum is σ = 260286. Its totient is φ = 40032.

The previous prime is 120103. The next prime is 120121. The reversal of 120114 is 411021.

It is a happy number.

120114 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 1089 = 345^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120096 and 120105.

It is a congruent number.

It is an unprimeable number.

120114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3319 + ... + 3354.

2120114 is an apocalyptic number.

120114 is an abundant number, since it is smaller than the sum of its proper divisors (140172).

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

120114 is a wasteful number, since it uses less digits than its factorization.

120114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120114 is about 346.5746672796. The cubic root of 120114 is about 49.3398558862.

Adding to 120114 its reverse (411021), we get a palindrome (531135).

The spelling of 120114 in words is "one hundred twenty thousand, one hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 6673 13346 20019 40038 60057 120114