Search a number
-
+
5211540 = 223453217
BaseRepresentation
bin10011111000010110010100
3100210202220000
4103320112110
52313232130
6303411300
762203665
oct23702624
910722800
105211540
112a3a564
1218b3b30
131106169
1499936c
156ce260
hex4f8594

5211540 has 60 divisors (see below), whose sum is σ = 16353876. Its totient is φ = 1389312.

The previous prime is 5211539. The next prime is 5211541. The reversal of 5211540 is 451125.

It is an interprime number because it is at equal distance from previous prime (5211539) and next prime (5211541).

It can be written as a sum of positive squares in 2 ways, for example, as 3437316 + 1774224 = 1854^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (5211541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12 + ... + 3228.

Almost surely, 25211540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5211540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176938).

5211540 is an abundant number, since it is smaller than the sum of its proper divisors (11142336).

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

5211540 is a wasteful number, since it uses less digits than its factorization.

5211540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5211540 is about 2282.8797603028. The cubic root of 5211540 is about 173.3758853452.

Adding to 5211540 its reverse (451125), we get a palindrome (5662665).

The spelling of 5211540 in words is "five million, two hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3217 6434 9651 12868 16085 19302 28953 32170 38604 48255 57906 64340 86859 96510 115812 144765 173718 193020 260577 289530 347436 434295 521154 579060 868590 1042308 1302885 1737180 2605770 5211540