Search a number
-
+
2058000640 = 28543139269
BaseRepresentation
bin111101010101010…
…1001100100000000
312022102111021010221
41322222221210000
513203322010030
6540114032424
7101666500603
oct17252514400
95272437127
102058000640
11966762383
12495278714
1326a4a4277
1415747633a
15c0a1ce7a
hex7aaa9900

2058000640 has 144 divisors (see below), whose sum is σ = 5099371200. Its totient is φ = 795303936.

The previous prime is 2058000613. The next prime is 2058000697. The reversal of 2058000640 is 460008502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7650426 + ... + 7650694.

It is an arithmetic number, because the mean of its divisors is an integer number (35412300).

Almost surely, 22058000640 is an apocalyptic number.

2058000640 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 2058000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549685600).

2058000640 is an abundant number, since it is smaller than the sum of its proper divisors (3041370560).

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

2058000640 is a wasteful number, since it uses less digits than its factorization.

2058000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2058000640 is about 45365.1919427219. The cubic root of 2058000640 is about 1271.9845468370.

The spelling of 2058000640 in words is "two billion, fifty-eight million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 139 160 172 215 256 269 278 320 344 430 538 556 640 688 695 860 1076 1112 1280 1345 1376 1390 1720 2152 2224 2690 2752 2780 3440 4304 4448 5380 5504 5560 5977 6880 8608 8896 10760 11008 11120 11567 11954 13760 17216 17792 21520 22240 23134 23908 27520 29885 34432 35584 37391 43040 44480 46268 47816 55040 57835 59770 68864 74782 86080 88960 92536 95632 115670 119540 149564 172160 177920 185072 186955 191264 231340 239080 299128 344320 370144 373910 382528 462680 478160 598256 740288 747820 765056 925360 956320 1196512 1480576 1495640 1530112 1607813 1850720 1912640 2393024 2961152 2991280 3215626 3701440 3825280 4786048 5982560 6431252 7402880 7650560 8039065 9572096 11965120 12862504 14805760 16078130 23930240 25725008 32156260 47860480 51450016 64312520 102900032 128625040 205800064 257250080 411600128 514500160 1029000320 2058000640