Search a number
-
+
124200 = 23335223
BaseRepresentation
bin11110010100101000
320022101000
4132110220
512433300
62355000
71025046
oct362450
9208330
10124200
118534a
125ba60
13446bb
1433396
1526c00
hex1e528

124200 has 96 divisors (see below), whose sum is σ = 446400. Its totient is φ = 31680.

The previous prime is 124199. The next prime is 124213. The reversal of 124200 is 2421.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13.

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, 5389 + ... + 5411.

It is an arithmetic number, because the mean of its divisors is an integer number (4650).

2124200 is an apocalyptic number.

124200 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 124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

124200 is an abundant number, since it is smaller than the sum of its proper divisors (322200).

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

124200 is a wasteful number, since it uses less digits than its factorization.

124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 124200 is about 352.4202037341. The cubic root of 124200 is about 49.8931049652.

Adding to 124200 its reverse (2421), we get a palindrome (126621).

It can be divided in two parts, 124 and 200, that added together give a square (324 = 182).

The spelling of 124200 in words is "one hundred twenty-four thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 27 30 36 40 45 46 50 54 60 69 72 75 90 92 100 108 115 120 135 138 150 180 184 200 207 216 225 230 270 276 300 345 360 414 450 460 540 552 575 600 621 675 690 828 900 920 1035 1080 1150 1242 1350 1380 1656 1725 1800 2070 2300 2484 2700 2760 3105 3450 4140 4600 4968 5175 5400 6210 6900 8280 10350 12420 13800 15525 20700 24840 31050 41400 62100 124200