Search a number
-
+
2030511744 = 27327512347
BaseRepresentation
bin111100100000111…
…0010011010000000
312020111202200110200
41321001302122000
513124302333434
6533252525200
7101214031212
oct17101623200
95214680420
102030511744
11952197588
12488020800
1326489b251
1415395c5b2
15bd3dd199
hex79072680

2030511744 has 96 divisors (see below), whose sum is σ = 5853282240. Its totient is φ = 675648000.

The previous prime is 2030511733. The next prime is 2030511761. The reversal of 2030511744 is 4471150302.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863979 + ... + 866325.

It is an arithmetic number, because the mean of its divisors is an integer number (60971690).

Almost surely, 22030511744 is an apocalyptic number.

2030511744 is a gapful number since it is divisible by the number (24) 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 2030511744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926641120).

2030511744 is an abundant number, since it is smaller than the sum of its proper divisors (3822770496).

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

2030511744 is a wasteful number, since it uses less digits than its factorization.

2030511744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2030511744 is about 45061.1999840217. The cubic root of 2030511744 is about 1266.2958062329.

The spelling of 2030511744 in words is "two billion, thirty million, five hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 751 1152 1502 2253 2347 3004 4506 4694 6008 6759 7041 9012 9388 12016 13518 14082 18024 18776 21123 24032 27036 28164 36048 37552 42246 48064 54072 56328 72096 75104 84492 96128 108144 112656 144192 150208 168984 216288 225312 288384 300416 337968 432576 450624 675936 865152 901248 1351872 1762597 2703744 3525194 5287791 7050388 10575582 14100776 15863373 21151164 28201552 31726746 42302328 56403104 63453492 84604656 112806208 126906984 169209312 225612416 253813968 338418624 507627936 676837248 1015255872 2030511744