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122820 = 22352389
BaseRepresentation
bin11101111111000100
320020110220
4131333010
512412240
62344340
71021035
oct357704
9206426
10122820
1184305
125b0b0
1343b99
1432a8c
15265d0
hex1dfc4

122820 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 30976.

The previous prime is 122819. The next prime is 122827. The reversal of 122820 is 28221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122827) 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 15 ways as a sum of consecutive naturals, for example, 1336 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2122820 is an apocalyptic number.

122820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

122820 is an abundant number, since it is smaller than the sum of its proper divisors (240060).

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

122820 is a wasteful number, since it uses less digits than its factorization.

122820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122820 is about 350.4568447042. The cubic root of 122820 is about 49.7076270266.

The spelling of 122820 in words is "one hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 138 178 230 267 276 345 356 445 460 534 690 890 1068 1335 1380 1780 2047 2670 4094 5340 6141 8188 10235 12282 20470 24564 30705 40940 61410 122820