Search a number
-
+
122094 = 23371719
BaseRepresentation
bin11101110011101110
320012111000
4131303232
512401334
62341130
71015650
oct356356
9205430
10122094
1183805
125a7a6
134375b
14326d0
1526299
hex1dcee

122094 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 31104.

The previous prime is 122081. The next prime is 122099. The reversal of 122094 is 490221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6417 + ... + 6435.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2122094 is an apocalyptic number.

122094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

122094 is an abundant number, since it is smaller than the sum of its proper divisors (223506).

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

122094 is a wasteful number, since it uses less digits than its factorization.

122094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122094 is about 349.4195186305. The cubic root of 122094 is about 49.6094913331.

The spelling of 122094 in words is "one hundred twenty-two thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 27 34 38 42 51 54 57 63 102 114 119 126 133 153 171 189 238 266 306 323 342 357 378 399 459 513 646 714 798 918 969 1026 1071 1197 1938 2142 2261 2394 2907 3213 3591 4522 5814 6426 6783 7182 8721 13566 17442 20349 40698 61047 122094