Search a number
-
+
5673540138 = 237893494349
BaseRepresentation
bin1010100100010101…
…10101101000101010
3112122101202200221020
411102022311220222
543104411241023
62334551353310
7260411203230
oct52212655052
915571680836
105673540138
112451624752
121124082836
136c5565456
143bb70c950
1523314dde3
hex1522b5a2a

5673540138 has 64 divisors (see below), whose sum is σ = 13154400000. Its totient is φ = 1597837824.

The previous prime is 5673540137. The next prime is 5673540149. The reversal of 5673540138 is 8310453765.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5673540138.

It is not an unprimeable number, because it can be changed into a prime (5673540137) 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, 1302388 + ... + 1306736.

It is an arithmetic number, because the mean of its divisors is an integer number (205537500).

Almost surely, 25673540138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5673540138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577200000).

5673540138 is an abundant number, since it is smaller than the sum of its proper divisors (7480859862).

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

5673540138 is a wasteful number, since it uses less digits than its factorization.

5673540138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799.

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5673540138 is about 75322.9057989666. The cubic root of 5673540138 is about 1783.5476250908.

The spelling of 5673540138 in words is "five billion, six hundred seventy-three million, five hundred forty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 349 534 623 698 1047 1246 1869 2094 2443 3738 4349 4886 7329 8698 13047 14658 26094 30443 31061 60886 62122 91329 93183 182658 186366 217427 387061 434854 652281 774122 1161183 1304562 1517801 2322366 2709427 3035602 4553403 5418854 8128281 9106806 10624607 16256562 21249214 31873821 63747642 135084289 270168578 405252867 810505734 945590023 1891180046 2836770069 5673540138