Search a number
-
+
2106650400 = 25352877771
BaseRepresentation
bin111110110010000…
…1110111100100000
312102211000221001220
41331210032330200
513303300303100
6545012455040
7103130142621
oct17544167440
95384027056
102106650400
11991170698
124a961a480
132775a8bca
1415dadba48
15c4e2caa0
hex7d90ef20

2106650400 has 72 divisors (see below), whose sum is σ = 6857154864. Its totient is φ = 561772800.

The previous prime is 2106650333. The next prime is 2106650411. The reversal of 2106650400 is 40566012.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 436486 + ... + 441285.

It is an arithmetic number, because the mean of its divisors is an integer number (95238262).

Almost surely, 22106650400 is an apocalyptic number.

2106650400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106650400 is an abundant number, since it is smaller than the sum of its proper divisors (4750504464).

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

2106650400 is a wasteful number, since it uses less digits than its factorization.

2106650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877794 (or 877781 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2106650400 is about 45898.2614049813. The cubic root of 2106650400 is about 1281.9295442616.

The spelling of 2106650400 in words is "two billion, one hundred six million, six hundred fifty 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 877771 1755542 2633313 3511084 4388855 5266626 7022168 8777710 10533252 13166565 14044336 17555420 21066504 21944275 26333130 28088672 35110840 42133008 43888550 52666260 65832825 70221680 84266016 87777100 105332520 131665650 140443360 175554200 210665040 263331300 351108400 421330080 526662600 702216800 1053325200 2106650400