Search a number
-
+
123900 = 22352759
BaseRepresentation
bin11110001111111100
320021221220
4132033330
512431100
62353340
71024140
oct361774
9207856
10123900
11850a7
125b850
134451a
1433220
1526aa0
hex1e3fc

123900 has 72 divisors (see below), whose sum is σ = 416640. Its totient is φ = 27840.

The previous prime is 123887. The next prime is 123911. The reversal of 123900 is 9321.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 123900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071 + ... + 2129.

2123900 is an apocalyptic number.

123900 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 123900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

123900 is an abundant number, since it is smaller than the sum of its proper divisors (292740).

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

123900 is a wasteful number, since it uses less digits than its factorization.

123900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 123900 is about 351.9943181360. The cubic root of 123900 is about 49.8529009954.

The spelling of 123900 in words is "one hundred twenty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 59 60 70 75 84 100 105 118 140 150 175 177 210 236 295 300 350 354 413 420 525 590 700 708 826 885 1050 1180 1239 1475 1652 1770 2065 2100 2478 2950 3540 4130 4425 4956 5900 6195 8260 8850 10325 12390 17700 20650 24780 30975 41300 61950 123900