Search a number
-
+
1271406064 = 241741173659
BaseRepresentation
bin100101111001000…
…0001110111110000
310021121101010020111
41023302001313300
510100434443224
6330054351104
743335526135
oct11362016760
93247333214
101271406064
115a2748215
122b595b494
13173535ca6
14c0bda58c
1576942d94
hex4bc81df0

1271406064 has 80 divisors (see below), whose sum is σ = 2691390240. Its totient is φ = 579461120.

The previous prime is 1271406061. The next prime is 1271406067. The reversal of 1271406064 is 4606041721.

It is an interprime number because it is at equal distance from previous prime (1271406061) and next prime (1271406067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271406061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928967 + ... + 1929625.

It is an arithmetic number, because the mean of its divisors is an integer number (33642378).

Almost surely, 21271406064 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 1271406064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345695120).

1271406064 is an abundant number, since it is smaller than the sum of its proper divisors (1419984176).

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

1271406064 is a wasteful number, since it uses less digits than its factorization.

1271406064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1271406064 is about 35656.7814587913. The cubic root of 1271406064 is about 1083.3316368468.

Adding to 1271406064 its reverse (4606041721), we get a palindrome (5877447785).

The spelling of 1271406064 in words is "one billion, two hundred seventy-one million, four hundred six thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 173 272 328 346 656 659 692 697 1318 1384 1394 2636 2768 2788 2941 5272 5576 5882 7093 10544 11152 11203 11764 14186 22406 23528 27019 28372 44812 47056 54038 56744 89624 108076 113488 114007 120581 179248 216152 228014 241162 432304 456028 459323 482324 912056 918646 964648 1824112 1837292 1929296 1938119 3674584 3876238 4674287 7349168 7752476 9348574 15504952 18697148 31009904 37394296 74788592 79462879 158925758 317851516 635703032 1271406064