Search a number
-
+
1810851840 = 21132572401
BaseRepresentation
bin110101111101111…
…0110100000000000
311200012102210201200
41223323312200000
512202034224330
6455404501200
762605662300
oct15373664000
94605383650
101810851840
1184a1a6876
1242654a800
1322b21c585
141326dd600
15a8e9da60
hex6bef6800

1810851840 has 432 divisors, whose sum is σ = 7318960740. Its totient is φ = 412876800.

The previous prime is 1810851827. The next prime is 1810851851. The reversal of 1810851840 is 481580181.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1680344064 + 130507776 = 40992^2 + 11424^2 .

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 = 1810851795 and 1810851804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515640 + ... + 4516040.

Almost surely, 21810851840 is an apocalyptic number.

1810851840 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 1810851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659480370).

1810851840 is an abundant number, since it is smaller than the sum of its proper divisors (5508108900).

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

1810851840 is a wasteful number, since it uses less digits than its factorization.

1810851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1810851840 is about 42554.1048548786. The cubic root of 1810851840 is about 1218.8800615438.

The spelling of 1810851840 in words is "one billion, eight hundred ten million, eight hundred fifty-one thousand, eight hundred forty".