Search a number
-
+
2096328440 = 235612573343
BaseRepresentation
bin111110011110011…
…0110111011111000
312102002121112000002
41330330312323320
513243130002230
6544003332132
7102643332503
oct17474667370
95362545002
102096328440
11986360648
124a6081048
1327540393b
1415c5b213a
15c408e545
hex7cf36ef8

2096328440 has 64 divisors (see below), whose sum is σ = 4814156160. Its totient is φ = 821329920.

The previous prime is 2096328433. The next prime is 2096328547. The reversal of 2096328440 is 448236902.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2096328394 and 2096328403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625409 + ... + 628751.

It is an arithmetic number, because the mean of its divisors is an integer number (75221190).

Almost surely, 22096328440 is an apocalyptic number.

2096328440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2096328440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407078080).

2096328440 is an abundant number, since it is smaller than the sum of its proper divisors (2717827720).

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

2096328440 is a wasteful number, since it uses less digits than its factorization.

2096328440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2096328440 is about 45785.6794205350. The cubic root of 2096328440 is about 1279.8324243513.

The spelling of 2096328440 in words is "two billion, ninety-six million, three hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 257 305 488 514 610 1028 1220 1285 2056 2440 2570 3343 5140 6686 10280 13372 15677 16715 26744 31354 33430 62708 66860 78385 125416 133720 156770 203923 313540 407846 627080 815692 859151 1019615 1631384 1718302 2039230 3436604 4078460 4295755 6873208 8156920 8591510 17183020 34366040 52408211 104816422 209632844 262041055 419265688 524082110 1048164220 2096328440