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122964 = 22310247
BaseRepresentation
bin11110000001010100
320020200020
4132001110
512413324
62345140
71021332
oct360124
9206606
10122964
1184426
125b1b0
1343c7a
1432b52
1526679
hex1e054

122964 has 12 divisors (see below), whose sum is σ = 286944. Its totient is φ = 40984.

The previous prime is 122963. The next prime is 122971. The reversal of 122964 is 469221.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5112 + ... + 5135.

It is an arithmetic number, because the mean of its divisors is an integer number (23912).

2122964 is an apocalyptic number.

It is an amenable number.

122964 is an abundant number, since it is smaller than the sum of its proper divisors (163980).

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

122964 is a wasteful number, since it uses less digits than its factorization.

122964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254 (or 10252 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 122964 is about 350.6622306437. The cubic root of 122964 is about 49.7270459667.

The spelling of 122964 in words is "one hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 10247 20494 30741 40988 61482 122964