Search a number
-
+
1321436064 = 253133073449
BaseRepresentation
bin100111011000011…
…1000001110100000
310102002111220111110
41032300320032200
510201241423224
6335042543320
744514010164
oct11660701640
93362456443
101321436064
11618a09523
1230a667b40
13180a01c40
14c7700ca4
157b026929
hex4ec383a0

1321436064 has 96 divisors (see below), whose sum is σ = 3748852800. Its totient is φ = 405153792.

The previous prime is 1321436023. The next prime is 1321436071. The reversal of 1321436064 is 4606341231.

It is a tau number, because it is divible by the number of its divisors (96).

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, 381412 + ... + 384860.

It is an arithmetic number, because the mean of its divisors is an integer number (39050550).

Almost surely, 21321436064 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 1321436064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874426400).

1321436064 is an abundant number, since it is smaller than the sum of its proper divisors (2427416736).

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

1321436064 is a wasteful number, since it uses less digits than its factorization.

1321436064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1321436064 is about 36351.5620572211. The cubic root of 1321436064 is about 1097.3589710217.

Adding to 1321436064 its reverse (4606341231), we get a palindrome (5927777295).

The spelling of 1321436064 in words is "one billion, three hundred twenty-one million, four hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 307 312 416 614 624 921 1228 1248 1842 2456 3449 3684 3991 4912 6898 7368 7982 9824 10347 11973 13796 14736 15964 20694 23946 27592 29472 31928 41388 44837 47892 55184 63856 82776 89674 95784 110368 127712 134511 165552 179348 191568 269022 331104 358696 383136 538044 717392 1058843 1076088 1434784 2117686 2152176 3176529 4235372 4304352 6353058 8470744 12706116 13764959 16941488 25412232 27529918 33882976 41294877 50824464 55059836 82589754 101648928 110119672 165179508 220239344 330359016 440478688 660718032 1321436064