Search a number
-
+
1280426960 = 24527757781
BaseRepresentation
bin100110001010001…
…1100001111010000
310022020100102120202
41030110130033100
510110242130320
6331015554332
743505310131
oct11424341720
93266312522
101280426960
115a78497aa
122b898b9a8
13175373cb7
14c20a7c88
1577625b75
hex4c51c3d0

1280426960 has 40 divisors (see below), whose sum is σ = 2987791656. Its totient is φ = 510312960.

The previous prime is 1280426957. The next prime is 1280426971. The reversal of 1280426960 is 696240821.

It can be written as a sum of positive squares in 4 ways, for example, as 115433536 + 1164993424 = 10744^2 + 34132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6731 + ... + 51050.

Almost surely, 21280426960 is an apocalyptic number.

1280426960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1280426960 is an abundant number, since it is smaller than the sum of its proper divisors (1707364696).

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

1280426960 is a wasteful number, since it uses less digits than its factorization.

1280426960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58071 (or 58065 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1280426960 is about 35783.0540898901. The cubic root of 1280426960 is about 1085.8877569410.

The spelling of 1280426960 in words is "one billion, two hundred eighty million, four hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 554 1108 1385 2216 2770 4432 5540 11080 22160 57781 115562 231124 288905 462248 577810 924496 1155620 2311240 4622480 16005337 32010674 64021348 80026685 128042696 160053370 256085392 320106740 640213480 1280426960