Search a number
-
+
5213142 = 23211113233
BaseRepresentation
bin10011111000101111010110
3100210212002100
4103320233112
52313310032
6303422530
762211444
oct23705726
910725070
105213142
112a40790
1218b4a46
131106acc
14999b94
156ce97c
hex4f8bd6

5213142 has 48 divisors (see below), whose sum is σ = 12484368. Its totient is φ = 1559040.

The previous prime is 5213141. The next prime is 5213161. The reversal of 5213142 is 2413125.

5213142 is a `hidden beast` number, since 521 + 3 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5213141) 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, 22258 + ... + 22490.

It is an arithmetic number, because the mean of its divisors is an integer number (260091).

Almost surely, 25213142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5213142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242184).

5213142 is an abundant number, since it is smaller than the sum of its proper divisors (7271226).

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

5213142 is a wasteful number, since it uses less digits than its factorization.

5213142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 362 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 5213142 is about 2283.2306059616. The cubic root of 5213142 is about 173.3936484705.

Adding to 5213142 its reverse (2413125), we get a palindrome (7626267).

It can be divided in two parts, 521 and 3142, that added together give a palindrome (3663).

The spelling of 5213142 in words is "five million, two hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 198 226 233 339 466 678 699 1017 1243 1398 2034 2097 2486 2563 3729 4194 5126 7458 7689 11187 15378 22374 23067 26329 46134 52658 78987 157974 236961 289619 473922 579238 868857 1737714 2606571 5213142