Search a number
-
+
1330811856 = 24351129237
BaseRepresentation
bin100111101010010…
…1001001111010000
310102202011020200000
41033110221033100
510211141434411
6340015530000
744656466643
oct11724511720
93382136600
101330811856
11623232710
12311829900
1318293564a
14c8a61a5a
157bc79956
hex4f5293d0

1330811856 has 360 divisors, whose sum is σ = 4481733984. Its totient is φ = 378846720.

The previous prime is 1330811849. The next prime is 1330811857. The reversal of 1330811856 is 6581180331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1330811856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330811857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35967870 + ... + 35967906.

Almost surely, 21330811856 is an apocalyptic number.

1330811856 is a gapful number since it is divisible by the number (16) 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 1330811856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240866992).

1330811856 is an abundant number, since it is smaller than the sum of its proper divisors (3150922128).

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

1330811856 is a wasteful number, since it uses less digits than its factorization.

1330811856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1330811856 is about 36480.2940777620. The cubic root of 1330811856 is about 1099.9481672546.

The spelling of 1330811856 in words is "one billion, three hundred thirty million, eight hundred eleven thousand, eight hundred fifty-six".