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120409 = 3472
BaseRepresentation
bin11101011001011001
320010011121
4131121121
512323114
62325241
71011022
oct353131
9203147
10120409
1182513
1259821
1342a63
1431c49
1525a24
hex1d659

120409 has 3 divisors (see below), whose sum is σ = 120757. Its totient is φ = 120062.

The previous prime is 120401. The next prime is 120413. The reversal of 120409 is 904021.

120409 = T346 + T347.

The square root of 120409 is 347.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 120409 - 23 = 120401 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120392 and 120401.

It is not an unprimeable number, because it can be changed into a prime (120401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 174 + ... + 520.

2120409 is an apocalyptic number.

120409 is the 347-th square number.

120409 is the 174-th centered octagonal number.

It is an amenable number.

120409 is a deficient number, since it is larger than the sum of its proper divisors (348).

120409 is an frugal number, since it uses more digits than its factorization.

120409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 120409 is about 49.3802157605.

Multiplying 120409 by its sum of digits (16), we get a square (1926544 = 13882).

It can be divided in two parts, 120 and 409, that added together give a square (529 = 232).

The spelling of 120409 in words is "one hundred twenty thousand, four hundred nine".

Divisors: 1 347 120409