Search a number
-
+
2568328160 = 255294711777
BaseRepresentation
bin1001100100010101…
…1001001111100000
320121222202120220012
42121011121033200
520224443000120
61102504104052
7120434300126
oct23105311740
96558676805
102568328160
1110a8832a62
125b8165028
1331c134008
141a5159916
151007261c5
hex991593e0

2568328160 has 96 divisors (see below), whose sum is σ = 6411000960. Its totient is φ = 970719232.

The previous prime is 2568328151. The next prime is 2568328163. The reversal of 2568328160 is 618238652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568328163) 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, 212192 + ... + 223968.

It is an arithmetic number, because the mean of its divisors is an integer number (66781260).

Almost surely, 22568328160 is an apocalyptic number.

2568328160 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 2568328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205500480).

2568328160 is an abundant number, since it is smaller than the sum of its proper divisors (3842672800).

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

2568328160 is a wasteful number, since it uses less digits than its factorization.

2568328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11868 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 2568328160 is about 50678.6755943760. The cubic root of 2568328160 is about 1369.4625842476.

The spelling of 2568328160 in words is "two billion, five hundred sixty-eight million, three hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 47 58 80 94 116 145 160 188 232 235 290 376 464 470 580 752 928 940 1160 1363 1504 1880 2320 2726 3760 4640 5452 6815 7520 10904 11777 13630 21808 23554 27260 43616 47108 54520 58885 94216 109040 117770 188432 218080 235540 341533 376864 471080 553519 683066 942160 1107038 1366132 1707665 1884320 2214076 2732264 2767595 3415330 4428152 5464528 5535190 6830660 8856304 10929056 11070380 13661320 16052051 17712608 22140760 27322640 32104102 44281520 54645280 64208204 80260255 88563040 128416408 160520510 256832816 321041020 513665632 642082040 1284164080 2568328160