Search a number
-
+
1266130944 = 21332131321
BaseRepresentation
bin100101101110111…
…1010000000000000
310021020110010010200
41023131322000000
510043112142234
6325345325200
743242635601
oct11335720000
93236403120
101266130944
1159a774a11
122b4036800
13172409c10
14c0225da8
157624ed99
hex4b77a000

1266130944 has 168 divisors, whose sum is σ = 3941815332. Its totient is φ = 389283840.

The previous prime is 1266130919. The next prime is 1266130951. The reversal of 1266130944 is 4490316621.

It can be written as a sum of positive squares in 2 ways, for example, as 1261670400 + 4460544 = 35520^2 + 2112^2 .

It is a super-2 number, since 2×12661309442 = 3206175134708662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1266130899 and 1266130908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957804 + ... + 959124.

Almost surely, 21266130944 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 1266130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970907666).

1266130944 is an abundant number, since it is smaller than the sum of its proper divisors (2675684388).

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

1266130944 is a wasteful number, since it uses less digits than its factorization.

1266130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1266130944 is about 35582.7337904214. The cubic root of 1266130944 is about 1081.8312963091.

The spelling of 1266130944 in words is "one billion, two hundred sixty-six million, one hundred thirty thousand, nine hundred forty-four".