Search a number
-
+
1812842640 = 243357472551
BaseRepresentation
bin110110000001101…
…1100100010010000
311200100011221121000
41230003130202100
512203041431030
6455515302000
762631623340
oct15403344220
94610157530
101812842640
11850336564
1242714a900
1322b76876b
14132a9ad20
15a9243860
hex6c0dc890

1812842640 has 320 divisors, whose sum is σ = 7290961920. Its totient is φ = 405388800.

The previous prime is 1812842627. The next prime is 1812842641. The reversal of 1812842640 is 462482181.

1812842640 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 8 + 4 + 2 + 640 = 666.

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 = 1812842595 and 1812842604.

It is not an unprimeable number, because it can be changed into a prime (1812842641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709365 + ... + 711915.

It is an arithmetic number, because the mean of its divisors is an integer number (22784256).

Almost surely, 21812842640 is an apocalyptic number.

1812842640 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 1812842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645480960).

1812842640 is an abundant number, since it is smaller than the sum of its proper divisors (5478119280).

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

1812842640 is a wasteful number, since it uses less digits than its factorization.

1812842640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1812842640 is about 42577.4898273724. The cubic root of 1812842640 is about 1219.3265655389.

The spelling of 1812842640 in words is "one billion, eight hundred twelve million, eight hundred forty-two thousand, six hundred forty".