Search a number
-
+
122055 = 3579103
BaseRepresentation
bin11101110011000111
320012102120
4131303013
512401210
62341023
71015563
oct356307
9205376
10122055
118377a
125a773
134372b
14326a3
1526270
hex1dcc7

122055 has 16 divisors (see below), whose sum is σ = 199680. Its totient is φ = 63648.

The previous prime is 122053. The next prime is 122069. The reversal of 122055 is 550221.

122055 = T50 + T51 + ... + T94.

It is not a de Polignac number, because 122055 - 21 = 122053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

122055 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122051) 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 15 ways as a sum of consecutive naturals, for example, 1134 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2122055 is an apocalyptic number.

122055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122055 is a deficient number, since it is larger than the sum of its proper divisors (77625).

122055 is a wasteful number, since it uses less digits than its factorization.

122055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 122055 is about 349.3637073309. The cubic root of 122055 is about 49.6042085832.

Adding to 122055 its reverse (550221), we get a palindrome (672276).

It can be divided in two parts, 1220 and 55, that added together give a triangular number (1275 = T50).

The spelling of 122055 in words is "one hundred twenty-two thousand, fifty-five".

Divisors: 1 3 5 15 79 103 237 309 395 515 1185 1545 8137 24411 40685 122055