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123828 = 22317607
BaseRepresentation
bin11110001110110100
320021212020
4132032310
512430303
62353140
71024005
oct361664
9207766
10123828
1185041
125b7b0
1344493
14331ac
1526a53
hex1e3b4

123828 has 24 divisors (see below), whose sum is σ = 306432. Its totient is φ = 38784.

The previous prime is 123821. The next prime is 123829. The reversal of 123828 is 828321.

It is a junction number, because it is equal to n+sod(n) for n = 123798 and 123807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123821) 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, 100 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2123828 is an apocalyptic number.

It is an amenable number.

123828 is an abundant number, since it is smaller than the sum of its proper divisors (182604).

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

123828 is a wasteful number, since it uses less digits than its factorization.

123828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 123828 is about 351.8920288952. The cubic root of 123828 is about 49.8432423880.

The spelling of 123828 in words is "one hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 607 1214 1821 2428 3642 7284 10319 20638 30957 41276 61914 123828