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120523 = 1373127
BaseRepresentation
bin11101011011001011
320010022211
4131123023
512324043
62325551
71011244
oct353313
9203284
10120523
1182607
12598b7
1342b20
1431ccb
1525a9d
hex1d6cb

120523 has 8 divisors (see below), whose sum is σ = 132608. Its totient is φ = 108864.

The previous prime is 120511. The next prime is 120539. The reversal of 120523 is 325021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120523 - 29 = 120011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

120523 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (120503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (16576).

2120523 is an apocalyptic number.

120523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120523 is a deficient number, since it is larger than the sum of its proper divisors (12085).

120523 is a wasteful number, since it uses less digits than its factorization.

120523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 120523 is about 347.1642262676. The cubic root of 120523 is about 49.3957947979.

Adding to 120523 its reverse (325021), we get a palindrome (445544).

The spelling of 120523 in words is "one hundred twenty thousand, five hundred twenty-three".

Divisors: 1 13 73 127 949 1651 9271 120523