Search a number
-
+
1221264064 = 26191576397
BaseRepresentation
bin100100011001011…
…0000001011000000
310011010000122100101
41020302300023000
510000120422224
6321103532144
742156400426
oct11062601300
93133018311
101221264064
1157740a849
122a0bba054
1316602b077
14b82a7116
157233b044
hex48cb02c0

1221264064 has 56 divisors (see below), whose sum is σ = 2567645360. Its totient is φ = 574718976.

The previous prime is 1221264061. The next prime is 1221264101. The reversal of 1221264064 is 4604621221.

It is not an unprimeable number, because it can be changed into a prime (1221264061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187714 + ... + 194110.

It is an arithmetic number, because the mean of its divisors is an integer number (45850810).

Almost surely, 21221264064 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 1221264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283822680).

1221264064 is an abundant number, since it is smaller than the sum of its proper divisors (1346381296).

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

1221264064 is a wasteful number, since it uses less digits than its factorization.

1221264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1221264064 is about 34946.5887319492. The cubic root of 1221264064 is about 1068.8986437395.

Adding to 1221264064 its reverse (4604621221), we get a palindrome (5825885285).

The spelling of 1221264064 in words is "one billion, two hundred twenty-one million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 157 304 314 608 628 1216 1256 2512 2983 5024 5966 6397 10048 11932 12794 23864 25588 47728 51176 95456 102352 121543 190912 204704 243086 409408 486172 972344 1004329 1944688 2008658 3889376 4017316 7778752 8034632 16069264 19082251 32138528 38164502 64277056 76329004 152658008 305316016 610632032 1221264064