Search a number
-
+
2566051320 = 2335712832381
BaseRepresentation
bin1001100011110010…
…1101010111111000
320121211110220122210
42120330231113320
520223402120240
61102343215120
7120406035120
oct23074552770
96554426583
102566051320
1110a7518378
125b74474a0
1331b817881
141a4b25c80
15100426780
hex98f2d5f8

2566051320 has 128 divisors (see below), whose sum is σ = 8808445440. Its totient is φ = 585822720.

The previous prime is 2566051309. The next prime is 2566051321. The reversal of 2566051320 is 231506652.

It is a super-3 number, since 3×25660513203 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566051321) 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, 1076530 + ... + 1078910.

It is an arithmetic number, because the mean of its divisors is an integer number (68815980).

Almost surely, 22566051320 is an apocalyptic number.

2566051320 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 2566051320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404222720).

2566051320 is an abundant number, since it is smaller than the sum of its proper divisors (6242394120).

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

2566051320 is a wasteful number, since it uses less digits than its factorization.

2566051320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2566051320 is about 50656.2071221287. The cubic root of 2566051320 is about 1369.0577853745.

Adding to 2566051320 its reverse (231506652), we get a palindrome (2797557972).

The spelling of 2566051320 in words is "two billion, five hundred sixty-six million, fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1283 2381 2566 3849 4762 5132 6415 7143 7698 8981 9524 10264 11905 12830 14286 15396 16667 17962 19048 19245 23810 25660 26943 28572 30792 33334 35715 35924 38490 44905 47620 50001 51320 53886 57144 66668 71430 71848 76980 83335 89810 95240 100002 107772 133336 134715 142860 153960 166670 179620 200004 215544 250005 269430 285720 333340 359240 400008 500010 538860 666680 1000020 1077720 2000040 3054823 6109646 9164469 12219292 15274115 18328938 21383761 24438584 30548230 36657876 42767522 45822345 61096460 64151283 73315752 85535044 91644690 106918805 122192920 128302566 171070088 183289380 213837610 256605132 320756415 366578760 427675220 513210264 641512830 855350440 1283025660 2566051320