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2124300400 = 245217929669
BaseRepresentation
bin111111010011110…
…0100000001110000
312111001020122022121
41332213210001300
513322310103100
6550443044024
7103433153425
oct17647440160
95431218277
102124300400
119a0126372
124b3510614
1327b1487b1
141621b3d4c
15c676751a
hex7e9e4070

2124300400 has 60 divisors (see below), whose sum is σ = 5132316600. Its totient is φ = 844944640.

The previous prime is 2124300397. The next prime is 2124300413. The reversal of 2124300400 is 40034212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56766 + ... + 86434.

It is an arithmetic number, because the mean of its divisors is an integer number (85538610).

Almost surely, 22124300400 is an apocalyptic number.

2124300400 is a gapful number since it is divisible by the number (20) 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 2124300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566158300).

2124300400 is an abundant number, since it is smaller than the sum of its proper divisors (3008016200).

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

2124300400 is a wasteful number, since it uses less digits than its factorization.

2124300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29866 (or 29855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2124300400 is about 46090.1334343914. The cubic root of 2124300400 is about 1285.4996921098.

Adding to 2124300400 its reverse (40034212), we get a palindrome (2164334612).

The spelling of 2124300400 in words is "two billion, one hundred twenty-four million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 29669 35800 59338 71600 118676 148345 237352 296690 474704 593380 741725 1186760 1483450 2373520 2966900 5310751 5933800 10621502 11867600 21243004 26553755 42486008 53107510 84972016 106215020 132768775 212430040 265537550 424860080 531075100 1062150200 2124300400