Search a number
-
+
2064243104 = 257113312531
BaseRepresentation
bin111101100001001…
…1101100110100000
312022212020102012022
41323002131212200
513211421234404
6540455521012
7102103530320
oct17302354640
95285212168
102064243104
1196a236440
12497389168
1326b87b731
1415821d280
15c13528be
hex7b09d9a0

2064243104 has 96 divisors (see below), whose sum is σ = 5084093952. Its totient is φ = 801504000.

The previous prime is 2064243101. The next prime is 2064243107. The reversal of 2064243104 is 4013424602.

It is an interprime number because it is at equal distance from previous prime (2064243101) and next prime (2064243107).

It is a super-2 number, since 2×20642431042 = 8522199184823109632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2064243101) 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, 814319 + ... + 816849.

It is an arithmetic number, because the mean of its divisors is an integer number (52959312).

Almost surely, 22064243104 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 2064243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542046976).

2064243104 is an abundant number, since it is smaller than the sum of its proper divisors (3019850848).

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

2064243104 is a wasteful number, since it uses less digits than its factorization.

2064243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2064243104 is about 45433.9422018385. The cubic root of 2064243104 is about 1273.2693379629.

Adding to 2064243104 its reverse (4013424602), we get a palindrome (6077667706).

The spelling of 2064243104 in words is "two billion, sixty-four million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 331 352 616 662 1232 1324 2317 2464 2531 2648 3641 4634 5062 5296 7282 9268 10124 10592 14564 17717 18536 20248 25487 27841 29128 35434 37072 40496 50974 55682 58256 70868 74144 80992 101948 111364 116512 141736 194887 203896 222728 283472 389774 407792 445456 566944 779548 815584 837761 890912 1559096 1675522 3118192 3351044 5864327 6236384 6702088 9215371 11728654 13404176 18430742 23457308 26808352 36861484 46914616 64507597 73722968 93829232 129015194 147445936 187658464 258030388 294891872 516060776 1032121552 2064243104