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122694 = 23112132
BaseRepresentation
bin11101111101000110
320020022020
4131331012
512411234
62344010
71020465
oct357506
9206266
10122694
1184200
125b006
1343b00
14329dc
1526549
hex1df46

122694 has 36 divisors (see below), whose sum is σ = 292068. Its totient is φ = 34320.

The previous prime is 122693. The next prime is 122701. The reversal of 122694 is 496221.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122693) 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 17 ways as a sum of consecutive naturals, for example, 9432 + ... + 9444.

It is an arithmetic number, because the mean of its divisors is an integer number (8113).

122694 is a Friedman number, since it can be written as 6*(9*2^4-1)^2, using all its digits and the basic arithmetic operations.

2122694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146034).

122694 is an abundant number, since it is smaller than the sum of its proper divisors (169374).

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

122694 is a wasteful number, since it uses less digits than its factorization.

122694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

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

The square root of 122694 is about 350.2770332180. The cubic root of 122694 is about 49.6906229990.

Multiplying 122694 by its sum of digits (24), we get a square (2944656 = 17162).

Multiplying 122694 by its product of digits (864), we get a square (106007616 = 102962).

The spelling of 122694 in words is "one hundred twenty-two thousand, six hundred ninety-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 169 242 286 338 363 429 507 726 858 1014 1573 1859 3146 3718 4719 5577 9438 11154 20449 40898 61347 122694