Search a number
-
+
2113824090 = 235775713297
BaseRepresentation
bin111110111111110…
…0110010101011010
312110022112101112010
41331333212111122
513312114332330
6545430330350
7103245131310
oct17577462532
95408471463
102113824090
11995220364
124abab99b6
13278c1b1b1
14160a480b0
15c58983b0
hex7dfe655a

2113824090 has 64 divisors (see below), whose sum is σ = 5806013184. Its totient is φ = 482485248.

The previous prime is 2113824077. The next prime is 2113824091. The reversal of 2113824090 is 904283112.

2113824090 = 38162 + 38172 + ... + 39552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2113824091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152322 + ... + 165618.

It is an arithmetic number, because the mean of its divisors is an integer number (90718956).

Almost surely, 22113824090 is an apocalyptic number.

2113824090 is an abundant number, since it is smaller than the sum of its proper divisors (3692189094).

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

2113824090 is a wasteful number, since it uses less digits than its factorization.

2113824090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2113824090 is about 45976.3427210125. The cubic root of 2113824090 is about 1283.3829963727.

The spelling of 2113824090 in words is "two billion, one hundred thirteen million, eight hundred twenty-four thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 757 1514 2271 3785 4542 5299 7570 10598 11355 13297 15897 22710 26495 26594 31794 39891 52990 66485 79485 79782 93079 132970 158970 186158 199455 279237 398910 465395 558474 930790 1396185 2792370 10065829 20131658 30197487 50329145 60394974 70460803 100658290 140921606 150987435 211382409 301974870 352304015 422764818 704608030 1056912045 2113824090