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122808 = 23371743
BaseRepresentation
bin11101111110111000
320020110110
4131332320
512412213
62344320
71021020
oct357670
9206413
10122808
11842a4
125b0a0
1343b8a
1432a80
15265c3
hex1dfb8

122808 has 64 divisors (see below), whose sum is σ = 380160. Its totient is φ = 32256.

The previous prime is 122789. The next prime is 122819. The reversal of 122808 is 808221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

122808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835 + ... + 2877.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2122808 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 122808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080).

122808 is an abundant number, since it is smaller than the sum of its proper divisors (257352).

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

122808 is a wasteful number, since it uses less digits than its factorization.

122808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 122808 is about 350.4397237757. The cubic root of 122808 is about 49.7060080966.

The spelling of 122808 in words is "one hundred twenty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 43 51 56 68 84 86 102 119 129 136 168 172 204 238 258 301 344 357 408 476 516 602 714 731 903 952 1032 1204 1428 1462 1806 2193 2408 2856 2924 3612 4386 5117 5848 7224 8772 10234 15351 17544 20468 30702 40936 61404 122808