Search a number
-
+
213421536 = 25321743591
BaseRepresentation
bin11001011100010…
…00110111100000
3112212120221022100
430232020313200
5414113442121
633102210400
75201024136
oct1456106740
9485527270
10213421536
11aa51a839
125b583a00
13352a6343
14204b7756
1513b0b026
hexcb88de0

213421536 has 72 divisors (see below), whose sum is σ = 642633264. Its totient is φ = 66954240.

The previous prime is 213421529. The next prime is 213421543. The reversal of 213421536 is 635124312.

It is an interprime number because it is at equal distance from previous prime (213421529) and next prime (213421543).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2134215363 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16900 + ... + 26691.

It is an arithmetic number, because the mean of its divisors is an integer number (8925462).

Almost surely, 2213421536 is an apocalyptic number.

It is an amenable number.

213421536 is an abundant number, since it is smaller than the sum of its proper divisors (429211728).

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

213421536 is a wasteful number, since it uses less digits than its factorization.

213421536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43624 (or 43613 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 213421536 is about 14608.9539666603. The cubic root of 213421536 is about 597.6029698298.

Adding to 213421536 its reverse (635124312), we get a palindrome (848545848).

The spelling of 213421536 in words is "two hundred thirteen million, four hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 43591 87182 130773 174364 261546 348728 392319 523092 697456 741047 784638 1046184 1394912 1482094 1569276 2092368 2223141 2964188 3138552 4184736 4446282 5928376 6277104 6669423 8892564 11856752 12554208 13338846 17785128 23713504 26677692 35570256 53355384 71140512 106710768 213421536