Search a number
-
+
1215718064 = 2411103199337
BaseRepresentation
bin100100001110110…
…0110001010110000
310010201120212122222
41020131212022300
54442210434224
6320345020212
742061301351
oct11035461260
93121525588
101215718064
11574271a80
1229b184668
13164b38902
14b7661d28
1571ae2b5e
hex487662b0

1215718064 has 80 divisors (see below), whose sum is σ = 2615308800. Its totient is φ = 542868480.

The previous prime is 1215718051. The next prime is 1215718099. The reversal of 1215718064 is 4608175121.

It is a super-2 number, since 2×12157180642 = 2955940822271816192, which contains 22 as substring.

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, 3607304 + ... + 3607640.

It is an arithmetic number, because the mean of its divisors is an integer number (32691360).

Almost surely, 21215718064 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 1215718064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307654400).

1215718064 is an abundant number, since it is smaller than the sum of its proper divisors (1399590736).

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

1215718064 is a wasteful number, since it uses less digits than its factorization.

1215718064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 1215718064 is about 34867.1487793310. The cubic root of 1215718064 is about 1067.2781620504.

The spelling of 1215718064 in words is "one billion, two hundred fifteen million, seven hundred eighteen thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 199 206 337 398 412 674 796 824 1133 1348 1592 1648 2189 2266 2696 3184 3707 4378 4532 5392 7414 8756 9064 14828 17512 18128 20497 29656 34711 35024 40994 59312 67063 69422 81988 134126 138844 163976 225467 268252 277688 327952 381821 450934 536504 555376 737693 763642 901868 1073008 1475386 1527284 1803736 2950772 3054568 3607472 5901544 6109136 6907489 11803088 13814978 27629956 55259912 75982379 110519824 151964758 303929516 607859032 1215718064