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122836 = 22741107
BaseRepresentation
bin11101111111010100
320020111111
4131333110
512412321
62344404
71021060
oct357724
9206444
10122836
118431a
125b104
1343bac
1432aa0
15265e1
hex1dfd4

122836 has 24 divisors (see below), whose sum is σ = 254016. Its totient is φ = 50880.

The previous prime is 122833. The next prime is 122839. The reversal of 122836 is 638221.

122836 = T56 + T57 + ... + T96.

It is an interprime number because it is at equal distance from previous prime (122833) and next prime (122839).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2122836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

122836 is an abundant number, since it is smaller than the sum of its proper divisors (131180).

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

122836 is a wasteful number, since it uses less digits than its factorization.

122836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 122836 is about 350.4796713078. The cubic root of 122836 is about 49.7097854359.

The spelling of 122836 in words is "one hundred twenty-two thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 41 82 107 164 214 287 428 574 749 1148 1498 2996 4387 8774 17548 30709 61418 122836