Search a number
-
+
124211400 = 23352241859
BaseRepresentation
bin1110110011101…
…01000011001000
322122201121000020
413121311003020
5223244231100
620154140440
73035531235
oct731650310
9278647006
10124211400
1164128955
1235721720
131c96ca91
14126d478c
15ad885a0
hex76750c8

124211400 has 96 divisors (see below), whose sum is σ = 387103200. Its totient is φ = 32947200.

The previous prime is 124211393. The next prime is 124211413. The reversal of 124211400 is 4112421.

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

It is a self number, because there is not a number n which added to its sum of digits gives 124211400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144171 + ... + 145029.

It is an arithmetic number, because the mean of its divisors is an integer number (4032325).

Almost surely, 2124211400 is an apocalyptic number.

124211400 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 124211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193551600).

124211400 is an abundant number, since it is smaller than the sum of its proper divisors (262891800).

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

124211400 is a wasteful number, since it uses less digits than its factorization.

124211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 124211400 is about 11145.0168236751. The cubic root of 124211400 is about 498.9463143864.

Adding to 124211400 its reverse (4112421), we get a palindrome (128323821).

The spelling of 124211400 in words is "one hundred twenty-four million, two hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 859 964 1205 1446 1718 1928 2410 2577 2892 3436 3615 4295 4820 5154 5784 6025 6872 7230 8590 9640 10308 12050 12885 14460 17180 18075 20616 21475 24100 25770 28920 34360 36150 42950 48200 51540 64425 72300 85900 103080 128850 144600 171800 207019 257700 414038 515400 621057 828076 1035095 1242114 1656152 2070190 2484228 3105285 4140380 4968456 5175475 6210570 8280760 10350950 12421140 15526425 20701900 24842280 31052850 41403800 62105700 124211400