Search a number
-
+
2105234400 = 25352877181
BaseRepresentation
bin111110101111011…
…0101001111100000
312102201100222200110
41331132311033200
513302420000100
6544522251320
7103112124423
oct17536651740
95381328613
102105234400
11990393845
124a9056b40
13277201539
1415d84d9ba
15c4c4d250
hex7d7b53e0

2105234400 has 72 divisors (see below), whose sum is σ = 6852545784. Its totient is φ = 561395200.

The previous prime is 2105234353. The next prime is 2105234429. The reversal of 2105234400 is 44325012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436191 + ... + 440990.

It is an arithmetic number, because the mean of its divisors is an integer number (95174247).

Almost surely, 22105234400 is an apocalyptic number.

2105234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105234400 is an abundant number, since it is smaller than the sum of its proper divisors (4747311384).

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

2105234400 is a wasteful number, since it uses less digits than its factorization.

2105234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877204 (or 877191 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2105234400 is about 45882.8333911497. The cubic root of 2105234400 is about 1281.6422605418.

Adding to 2105234400 its reverse (44325012), we get a palindrome (2149559412).

The spelling of 2105234400 in words is "two billion, one hundred five million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 877181 1754362 2631543 3508724 4385905 5263086 7017448 8771810 10526172 13157715 14034896 17543620 21052344 21929525 26315430 28069792 35087240 42104688 43859050 52630860 65788575 70174480 84209376 87718100 105261720 131577150 140348960 175436200 210523440 263154300 350872400 421046880 526308600 701744800 1052617200 2105234400