Search a number
-
+
2024130200 = 235247349617
BaseRepresentation
bin111100010100101…
…1100011010011000
312020001202110122012
41320221130122120
513121134131300
6532504045052
7101105552141
oct17051343230
95201673565
102024130200
11949628a84
12485a63788
132634756a1
14152b7aac8
15bca7c435
hex78a5c698

2024130200 has 96 divisors (see below), whose sum is σ = 4827816000. Its totient is φ = 788874240.

The previous prime is 2024130149. The next prime is 2024130209. The reversal of 2024130200 is 20314202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024130209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3280292 + ... + 3280908.

It is an arithmetic number, because the mean of its divisors is an integer number (50289750).

Almost surely, 22024130200 is an apocalyptic number.

2024130200 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 2024130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413908000).

2024130200 is an abundant number, since it is smaller than the sum of its proper divisors (2803685800).

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

2024130200 is a wasteful number, since it uses less digits than its factorization.

2024130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2024130200 is about 44990.3345175383. The cubic root of 2024130200 is about 1264.9678318305.

Adding to 2024130200 its reverse (20314202), we get a palindrome (2044444402).

The spelling of 2024130200 in words is "two billion, twenty-four million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 349 376 470 617 698 940 1175 1234 1396 1745 1880 2350 2468 2792 3085 3490 4700 4936 6170 6980 8725 9400 12340 13960 15425 16403 17450 24680 28999 30850 32806 34900 57998 61700 65612 69800 82015 115996 123400 131224 144995 164030 215333 231992 289990 328060 410075 430666 579980 656120 724975 820150 861332 1076665 1159960 1449950 1640300 1722664 2153330 2899900 3280600 4306660 5383325 5799800 8613320 10120651 10766650 20241302 21533300 40482604 43066600 50603255 80965208 101206510 202413020 253016275 404826040 506032550 1012065100 2024130200