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123984 = 2433741
BaseRepresentation
bin11110010001010000
320022002000
4132101100
512431414
62354000
71024320
oct362120
9208060
10123984
1185173
125b900
1344583
1433280
1526b09
hex1e450

123984 has 80 divisors (see below), whose sum is σ = 416640. Its totient is φ = 34560.

The previous prime is 123983. The next prime is 123989. The reversal of 123984 is 489321.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004 + ... + 3044.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2123984 is an apocalyptic number.

123984 is a gapful number since it is divisible by the number (14) 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 123984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

123984 is an abundant number, since it is smaller than the sum of its proper divisors (292656).

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

123984 is a wasteful number, since it uses less digits than its factorization.

123984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 123984 is about 352.1136180269. The cubic root of 123984 is about 49.8641646426.

The spelling of 123984 in words is "one hundred twenty-three thousand, nine hundred eighty-four".