Search a number
-
+
820471743 = 327131001797
BaseRepresentation
bin110000111001110…
…110011110111111
32010011212021122100
4300321312132333
53140020043433
6213225320143
726221615620
oct6071663677
92104767570
10820471743
11391153623
121aa936053
13100c9cc50
147ad77a47
154c06cb13
hex30e767bf

820471743 has 24 divisors (see below), whose sum is σ = 1458617888. Its totient is φ = 432775872.

The previous prime is 820471711. The next prime is 820471793. The reversal of 820471743 is 347174028.

It is a happy number.

It is not a de Polignac number, because 820471743 - 25 = 820471711 is a prime.

It is a super-2 number, since 2×8204717432 = 1346347762122916098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820471698 and 820471707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820471793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500080 + ... + 501717.

Almost surely, 2820471743 is an apocalyptic number.

820471743 is a deficient number, since it is larger than the sum of its proper divisors (638146145).

820471743 is a wasteful number, since it uses less digits than its factorization.

820471743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001823 (or 1001820 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 820471743 is about 28643.8779322912. The cubic root of 820471743 is about 936.1696184770.

The spelling of 820471743 in words is "eight hundred twenty million, four hundred seventy-one thousand, seven hundred forty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1001797 3005391 7012579 9016173 13023361 21037737 39070083 63113211 91163527 117210249 273490581 820471743