Search a number
-
+
1064065236 = 223132598893
BaseRepresentation
bin111111011011000…
…101100011010100
32202011020010002120
4333123011203110
54134400041421
6253330335540
735240256003
oct7733054324
92664203076
101064065236
114a6700a63
1225842a5b0
1313c5ab600
14a1466c3a
15636388c6
hex3f6c58d4

1064065236 has 72 divisors (see below), whose sum is σ = 2734371360. Its totient is φ = 321819264.

The previous prime is 1064065213. The next prime is 1064065271. The reversal of 1064065236 is 6325604601.

It is a super-2 number, since 2×10640652362 = 2264469652927471392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064065197 and 1064065206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115206 + ... + 124098.

It is an arithmetic number, because the mean of its divisors is an integer number (37977380).

Almost surely, 21064065236 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 1064065236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367185680).

1064065236 is an abundant number, since it is smaller than the sum of its proper divisors (1670306124).

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

1064065236 is a wasteful number, since it uses less digits than its factorization.

1064065236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1064065236 is about 32620.0128142219. The cubic root of 1064065236 is about 1020.9146083299.

Adding to 1064065236 its reverse (6325604601), we get a palindrome (7389669837).

The spelling of 1064065236 in words is "one billion, sixty-four million, sixty-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 169 177 236 338 354 507 676 708 767 1014 1534 2028 2301 3068 4602 8893 9204 9971 17786 19942 26679 29913 35572 39884 53358 59826 106716 115609 119652 231218 346827 462436 524687 693654 1049374 1387308 1502917 1574061 2098748 3005834 3148122 4508751 6011668 6296244 6820931 9017502 13641862 18035004 20462793 27283724 40925586 81851172 88672103 177344206 266016309 354688412 532032618 1064065236