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20686644 = 22331121583
BaseRepresentation
bin100111011101…
…0011100110100
31102220222202000
41032322130310
520243433034
62015215300
7340555626
oct116723464
942828660
1020686644
111074a200
126b17530
134393b24
142a66c16
151c39599
hex13ba734

20686644 has 72 divisors (see below), whose sum is σ = 58988160. Its totient is φ = 6264720.

The previous prime is 20686621. The next prime is 20686661. The reversal of 20686644 is 44668602.

20686644 = 3522 + 3532 + ... + 4722.

It is a happy number.

20686644 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 6 + 644 = 666.

It is a super-3 number, since 3×206866443 (a number of 23 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20686599 and 20686608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12277 + ... + 13859.

It is an arithmetic number, because the mean of its divisors is an integer number (819280).

Almost surely, 220686644 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 20686644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494080).

20686644 is an abundant number, since it is smaller than the sum of its proper divisors (38301516).

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

20686644 is a wasteful number, since it uses less digits than its factorization.

20686644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 20686644 is about 4548.2572486613. The cubic root of 20686644 is about 274.5132723733.

The spelling of 20686644 in words is "twenty million, six hundred eighty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 1583 2178 3166 3267 4356 4749 6332 6534 9498 13068 14247 17413 18996 28494 34826 42741 52239 56988 69652 85482 104478 156717 170964 191543 208956 313434 383086 470151 574629 626868 766172 940302 1149258 1723887 1880604 2298516 3447774 5171661 6895548 10343322 20686644