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122076 = 22323391
BaseRepresentation
bin11101110011011100
320012110100
4131303130
512401301
62341100
71015623
oct356334
9205410
10122076
1183799
125a790
1343746
14326ba
1526286
hex1dcdc

122076 has 18 divisors (see below), whose sum is σ = 308672. Its totient is φ = 40680.

The previous prime is 122069. The next prime is 122081. The reversal of 122076 is 670221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

122076 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1660 + ... + 1731.

2122076 is an apocalyptic number.

It is an amenable number.

122076 is an abundant number, since it is smaller than the sum of its proper divisors (186596).

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

122076 is a wasteful number, since it uses less digits than its factorization.

122076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 122076 is about 349.3937606770. The cubic root of 122076 is about 49.6070532807.

Adding to 122076 its reverse (670221), we get a palindrome (792297).

It can be divided in two parts, 1220 and 76, that added together give a 4-th power (1296 = 64).

The spelling of 122076 in words is "one hundred twenty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 3391 6782 10173 13564 20346 30519 40692 61038 122076