Search a number
-
+
13302534 = 2371731601
BaseRepresentation
bin110010101111…
…101100000110
3221000211122110
4302233230012
511401140114
61153041450
7221032620
oct62575406
927024573
1013302534
117566433
124556286
1329a9b2b
141aa3c10
15127b759
hexcafb06

13302534 has 64 divisors (see below), whose sum is σ = 33288192. Its totient is φ = 3456000.

The previous prime is 13302529. The next prime is 13302547. The reversal of 13302534 is 43520331.

13302534 = T236 + T237 + ... + T452.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13302534.

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 31 ways as a sum of consecutive naturals, for example, 21834 + ... + 22434.

It is an arithmetic number, because the mean of its divisors is an integer number (520128).

Almost surely, 213302534 is an apocalyptic number.

13302534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644096).

13302534 is an abundant number, since it is smaller than the sum of its proper divisors (19985658).

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

13302534 is a wasteful number, since it uses less digits than its factorization.

13302534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 13302534 is about 3647.2639059986. The cubic root of 13302534 is about 236.9434962951.

Adding to 13302534 its reverse (43520331), we get a palindrome (56822865).

The spelling of 13302534 in words is "thirteen million, three hundred two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 601 651 714 1054 1202 1302 1581 1803 3162 3606 3689 4207 7378 8414 10217 11067 12621 18631 20434 22134 25242 30651 37262 55893 61302 71519 111786 130417 143038 214557 260834 316727 391251 429114 633454 782502 950181 1900362 2217089 4434178 6651267 13302534