Search a number
-
+
2115264064 = 2657492
BaseRepresentation
bin111111000010100…
…0101111001000000
312110102020112210111
41332011011321000
513313001422224
6545521241104
7103263306424
oct17605057100
95412215714
102115264064
11996014221
124b0493194
13279303754
14160d00b84
15c5a7ed94
hex7e145e40

2115264064 has 21 divisors (see below), whose sum is σ = 4198207377. Its totient is φ = 1057448064.

The previous prime is 2115264043. The next prime is 2115264101. The reversal of 2115264064 is 4604625112.

It is a happy number.

The square root of 2115264064 is 45992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35904064 + 2079360000 = 5992^2 + 45600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 365062 + ... + 370810.

It is an arithmetic number, because the mean of its divisors is an integer number (199914637).

Almost surely, 22115264064 is an apocalyptic number.

2115264064 is the 45992-nd square number.

It is an amenable number.

2115264064 is a deficient number, since it is larger than the sum of its proper divisors (2082943313).

2115264064 is an frugal number, since it uses more digits than its factorization.

2115264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11510 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The cubic root of 2115264064 is about 1283.6743512172.

Adding to 2115264064 its reverse (4604625112), we get a palindrome (6719889176).

The spelling of 2115264064 in words is "two billion, one hundred fifteen million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 5749 11498 22996 45992 91984 183968 367936 33051001 66102002 132204004 264408008 528816016 1057632032 2115264064