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122328 = 23321699
BaseRepresentation
bin11101110111011000
320012210200
4131313120
512403303
62342200
71016433
oct356730
9205720
10122328
11839a8
125a960
13438ab
143281a
15263a3
hex1ddd8

122328 has 24 divisors (see below), whose sum is σ = 331500. Its totient is φ = 40752.

The previous prime is 122327. The next prime is 122347. The reversal of 122328 is 823221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321) 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 5 ways as a sum of consecutive naturals, for example, 778 + ... + 921.

2122328 is an apocalyptic number.

122328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122328 is an abundant number, since it is smaller than the sum of its proper divisors (209172).

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

122328 is a wasteful number, since it uses less digits than its factorization.

122328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1704 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122328 is about 349.7541994030. The cubic root of 122328 is about 49.6411642318.

Adding to 122328 its reverse (823221), we get a palindrome (945549).

The spelling of 122328 in words is "one hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1699 3398 5097 6796 10194 13592 15291 20388 30582 40776 61164 122328