Search a number
-
+
2073728384 = 27713315743
BaseRepresentation
bin111101110011010…
…1001010110000000
312100112002022112222
41323212221112000
513221333302014
6541435110212
7102250254230
oct17346512600
95315068488
102073728384
11974624912
1249a5a2368
1327081cc20
141595abcc0
15c20c808e
hex7b9a9580

2073728384 has 128 divisors (see below), whose sum is σ = 5249556480. Its totient is φ = 793774080.

The previous prime is 2073728383. The next prime is 2073728387. The reversal of 2073728384 is 4838273702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073728383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358217 + ... + 363959.

It is an arithmetic number, because the mean of its divisors is an integer number (41012160).

Almost surely, 22073728384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624778240).

2073728384 is an abundant number, since it is smaller than the sum of its proper divisors (3175828096).

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

2073728384 is a wasteful number, since it uses less digits than its factorization.

2073728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 2073728384 is about 45538.2079577139. The cubic root of 2073728384 is about 1275.2165996747.

The spelling of 2073728384 in words is "two billion, seventy-three million, seven hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 364 403 416 434 448 496 728 806 832 868 896 992 1456 1612 1664 1736 1984 2821 2912 3224 3472 3968 5642 5743 5824 6448 6944 11284 11486 11648 12896 13888 22568 22972 25792 27776 40201 45136 45944 51584 74659 80402 90272 91888 149318 160804 178033 180544 183776 298636 321608 356066 361088 367552 522613 597272 643216 712132 735104 1045226 1194544 1246231 1286432 1424264 2090452 2314429 2389088 2492462 2572864 2848528 4180904 4628858 4778176 4984924 5145728 5697056 8361808 9257716 9556352 9969848 11394112 16201003 16723616 18515432 19939696 22788224 32402006 33447232 37030864 39879392 64804012 66894464 74061728 79758784 129608024 148123456 159517568 259216048 296246912 518432096 1036864192 2073728384