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122493 = 3719307
BaseRepresentation
bin11101111001111101
320020000210
4131321331
512404433
62343033
71020060
oct357175
9206023
10122493
1184038
125aa79
13439a7
14328d7
1526463
hex1de7d

122493 has 16 divisors (see below), whose sum is σ = 197120. Its totient is φ = 66096.

The previous prime is 122489. The next prime is 122497. The reversal of 122493 is 394221.

It is an interprime number because it is at equal distance from previous prime (122489) and next prime (122497).

It is not a de Polignac number, because 122493 - 22 = 122489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

122493 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2122493 is an apocalyptic number.

It is an amenable number.

122493 is a deficient number, since it is larger than the sum of its proper divisors (74627).

122493 is a wasteful number, since it uses less digits than its factorization.

122493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its digits is 432, while the sum is 21.

The square root of 122493 is about 349.9899998571. The cubic root of 122493 is about 49.6634734120.

The spelling of 122493 in words is "one hundred twenty-two thousand, four hundred ninety-three".

Divisors: 1 3 7 19 21 57 133 307 399 921 2149 5833 6447 17499 40831 122493