Search a number
-
+
816010013 = 71317557947
BaseRepresentation
bin110000101000110…
…101001100011101
32002212110121022002
4300220311030131
53132344310023
6212545532045
726135653640
oct6050651435
92085417262
10816010013
11389686445
121a9344025
1310009a180
147a535a57
154b98ab28
hex30a3531d

816010013 has 32 divisors (see below), whose sum is σ = 1066431744. Its totient is φ = 605924352.

The previous prime is 816010001. The next prime is 816010021. The reversal of 816010013 is 310010618.

It is a cyclic number.

It is not a de Polignac number, because 816010013 - 212 = 816005917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816010213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861206 + ... + 862152.

It is an arithmetic number, because the mean of its divisors is an integer number (33325992).

Almost surely, 2816010013 is an apocalyptic number.

It is an amenable number.

816010013 is a deficient number, since it is larger than the sum of its proper divisors (250421731).

816010013 is a wasteful number, since it uses less digits than its factorization.

816010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 816010013 is about 28565.8889761898. Note that the first 3 decimals coincide. The cubic root of 816010013 is about 934.4695678799.

The spelling of 816010013 in words is "eight hundred sixteen million, ten thousand, thirteen".

Divisors: 1 7 13 17 91 119 221 557 947 1547 3899 6629 7241 9469 12311 16099 50687 66283 86177 112693 123097 209287 527479 861679 1465009 3692353 6857227 8967143 48000589 62770001 116572859 816010013