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2560020232 = 2371123710211
BaseRepresentation
bin1001100010010110…
…1100111100001000
320121102010111120011
42120211230330020
520220331121412
61102010041304
7120303545560
oct23045547410
96542114504
102560020232
1110a4079100
125b5419234
1331a4b5693
141a3dd5da0
15eeb347a7
hex9896cf08

2560020232 has 96 divisors (see below), whose sum is σ = 6193373760. Its totient is φ = 970358400.

The previous prime is 2560020227. The next prime is 2560020251. The reversal of 2560020232 is 2320200652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245607 + ... + 255817.

It is an arithmetic number, because the mean of its divisors is an integer number (64514310).

Almost surely, 22560020232 is an apocalyptic number.

2560020232 is a gapful number since it is divisible by the number (22) 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 2560020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096686880).

2560020232 is an abundant number, since it is smaller than the sum of its proper divisors (3633353528).

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

2560020232 is a wasteful number, since it uses less digits than its factorization.

2560020232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2560020232 is about 50596.6424973041. The cubic root of 2560020232 is about 1367.9843611062.

Adding to 2560020232 its reverse (2320200652), we get a palindrome (4880220884).

The spelling of 2560020232 in words is "two billion, five hundred sixty million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 121 148 154 242 259 296 308 407 484 518 616 814 847 968 1036 1628 1694 2072 2849 3256 3388 4477 5698 6776 8954 10211 11396 17908 20422 22792 31339 35816 40844 62678 71477 81688 112321 125356 142954 224642 250712 285908 377807 449284 571816 755614 786247 898568 1235531 1511228 1572494 2471062 2644649 3022456 3144988 4155877 4942124 5289298 6289976 8311754 8648717 9884248 10578596 16623508 17297434 21157192 29091139 33247016 34594868 45714647 58182278 69189736 91429294 116364556 182858588 232729112 320002529 365717176 640005058 1280010116 2560020232