Search a number
-
+
3020005040 = 2451310128751
BaseRepresentation
bin1011010000000001…
…1001111010110000
321210110200011002112
42310000121322300
522141110130130
61215401104452
7134560422263
oct26400317260
97713604075
103020005040
11130a794538
12703488128
1339189a040
14209132cda
1512a1e6495
hexb4019eb0

3020005040 has 80 divisors (see below), whose sum is σ = 7636761216. Its totient is φ = 1104000000.

The previous prime is 3020005013. The next prime is 3020005097. The reversal of 3020005040 is 405000203.

It is a tau number, because it is divible by the number of its divisors (80).

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, 90665 + ... + 119415.

Almost surely, 23020005040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818380608).

3020005040 is an abundant number, since it is smaller than the sum of its proper divisors (4616756176).

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

3020005040 is a wasteful number, since it uses less digits than its factorization.

3020005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28878 (or 28872 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 3020005040 is about 54954.5725122123. The cubic root of 3020005040 is about 1445.4482774839.

Adding to 3020005040 its reverse (405000203), we get a palindrome (3425005243).

The spelling of 3020005040 in words is "three billion, twenty million, five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 1010 1040 1313 1616 2020 2626 4040 5252 6565 8080 10504 13130 21008 26260 28751 52520 57502 105040 115004 143755 230008 287510 373763 460016 575020 747526 1150040 1495052 1868815 2300080 2903851 2990104 3737630 5807702 5980208 7475260 11615404 14519255 14950520 23230808 29038510 29901040 37750063 46461616 58077020 75500126 116154040 151000252 188750315 232308080 302000504 377500630 604001008 755001260 1510002520 3020005040