Search a number
-
+
20686536 = 23331353139
BaseRepresentation
bin100111011101…
…0011011001000
31102220222121000
41032322123020
520243432121
62015215000
7340555413
oct116723310
942828530
1020686536
111074a112
126b17460
134393a70
142a66b7a
151c39526
hex13ba6c8

20686536 has 128 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6200064.

The previous prime is 20686529. The next prime is 20686543. The reversal of 20686536 is 63568602.

It is an interprime number because it is at equal distance from previous prime (20686529) and next prime (20686543).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20686536.

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, 148755 + ... + 148893.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 220686536 is an apocalyptic number.

20686536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20686536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

20686536 is an abundant number, since it is smaller than the sum of its proper divisors (42817464).

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

20686536 is a wasteful number, since it uses less digits than its factorization.

20686536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 20686536 is about 4548.2453759664. The cubic root of 20686536 is about 274.5127946498.

The spelling of 20686536 in words is "twenty million, six hundred eighty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 139 156 159 212 216 234 278 312 318 351 417 424 468 477 556 636 689 702 834 936 954 1112 1251 1272 1378 1404 1431 1668 1807 1908 2067 2502 2756 2808 2862 3336 3614 3753 3816 4134 5004 5421 5512 5724 6201 7228 7367 7506 8268 10008 10842 11448 12402 14456 14734 15012 16263 16536 18603 21684 22101 24804 29468 30024 32526 37206 43368 44202 48789 49608 58936 65052 66303 74412 88404 95771 97578 130104 132606 148824 176808 191542 195156 198909 265212 287313 383084 390312 397818 530424 574626 766168 795636 861939 1149252 1591272 1723878 2298504 2585817 3447756 5171634 6895512 10343268 20686536