Search a number
-
+
1341206080 = 26533712437
BaseRepresentation
bin100111111110001…
…0010111001000000
310110110201022212021
41033330102321000
510221322043310
6341030411224
745144030544
oct11774227100
93413638767
101341206080
11629091a85
12315200b14
13184b34786
14ca1a9a24
157cb2e5da
hex4ff12e40

1341206080 has 56 divisors (see below), whose sum is σ = 3203481528. Its totient is φ = 534847488.

The previous prime is 1341206039. The next prime is 1341206089. The reversal of 1341206080 is 806021431.

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 1329039936 = 3488^2 + 36456^2 .

It is not an unprimeable number, because it can be changed into a prime (1341206089) 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, 101622 + ... + 114058.

Almost surely, 21341206080 is an apocalyptic number.

1341206080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601740764).

1341206080 is an abundant number, since it is smaller than the sum of its proper divisors (1862275448).

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

1341206080 is a wasteful number, since it uses less digits than its factorization.

1341206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1341206080 is about 36622.4805276759. The cubic root of 1341206080 is about 1102.8044363347.

The spelling of 1341206080 in words is "one billion, three hundred forty-one million, two hundred six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 337 674 1348 1685 2696 3370 5392 6740 10784 12437 13480 21568 24874 26960 49748 53920 62185 99496 107840 124370 198992 248740 397984 497480 795968 994960 1989920 3979840 4191269 8382538 16765076 20956345 33530152 41912690 67060304 83825380 134120608 167650760 268241216 335301520 670603040 1341206080