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124384 = 2513223
BaseRepresentation
bin11110010111100000
320022121211
4132113200
512440014
62355504
71025431
oct362740
9208554
10124384
11854a7
125bb94
1344800
1433488
1526cc4
hex1e5e0

124384 has 36 divisors (see below), whose sum is σ = 276696. Its totient is φ = 54912.

The previous prime is 124367. The next prime is 124427. The reversal of 124384 is 483421.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5397 + ... + 5419.

It is an arithmetic number, because the mean of its divisors is an integer number (7686).

2124384 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 124384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138348).

124384 is an abundant number, since it is smaller than the sum of its proper divisors (152312).

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

124384 is a wasteful number, since it uses less digits than its factorization.

124384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 38 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 124384 is about 352.6811591225. The cubic root of 124384 is about 49.9177313784.

The spelling of 124384 in words is "one hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 169 184 208 299 338 368 416 598 676 736 1196 1352 2392 2704 3887 4784 5408 7774 9568 15548 31096 62192 124384