Search a number
-
+
2138050950 = 235278324533
BaseRepresentation
bin111111101110000…
…0001000110000110
312112000010020112020
41333130001012012
513334320112300
6552053504010
7103661063460
oct17734010606
95460106466
102138050950
119a7968362
124b8042006
13280c51509
14163d53130
15c7a818a0
hex7f701186

2138050950 has 96 divisors (see below), whose sum is σ = 6133107456. Its totient is φ = 482789760.

The previous prime is 2138050949. The next prime is 2138050961. The reversal of 2138050950 is 590508312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74884 + ... + 99416.

It is an arithmetic number, because the mean of its divisors is an integer number (63886536).

Almost surely, 22138050950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138050950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066553728).

2138050950 is an abundant number, since it is smaller than the sum of its proper divisors (3995056506).

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

2138050950 is a wasteful number, since it uses less digits than its factorization.

2138050950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24638 (or 24633 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 2138050950 is about 46239.0630311645. The cubic root of 2138050950 is about 1288.2673993608.

The spelling of 2138050950 in words is "two billion, one hundred thirty-eight million, fifty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 83 105 150 166 175 210 249 350 415 498 525 581 830 1050 1162 1245 1743 2075 2490 2905 3486 4150 5810 6225 8715 12450 14525 17430 24533 29050 43575 49066 73599 87150 122665 147198 171731 245330 343462 367995 515193 613325 735990 858655 1030386 1226650 1717310 1839975 2036239 2575965 3679950 4072478 4293275 5151930 6108717 8586550 10181195 12217434 12879825 14253673 20362390 25759650 28507346 30543585 42761019 50905975 61087170 71268365 85522038 101811950 142536730 152717925 213805095 305435850 356341825 427610190 712683650 1069025475 2138050950