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20758608 = 2432132853
BaseRepresentation
bin100111100110…
…0000001010000
31110001122110100
41033030001100
520303233413
62020532400
7341305503
oct117140120
943048410
1020758608
1110799282
126b51100
1343ba800
142a8513a
151c50a73
hex13cc050

20758608 has 90 divisors (see below), whose sum is σ = 62981646. Its totient is φ = 6379776.

The previous prime is 20758607. The next prime is 20758609. The reversal of 20758608 is 80685702.

It is an interprime number because it is at equal distance from previous prime (20758607) and next prime (20758609).

It can be written as a sum of positive squares in 3 ways, for example, as 1468944 + 19289664 = 1212^2 + 4392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20758603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23910 + ... + 24762.

Almost surely, 220758608 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 20758608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31490823).

20758608 is an abundant number, since it is smaller than the sum of its proper divisors (42223038).

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

20758608 is a wasteful number, since it uses less digits than its factorization.

20758608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20758608 is about 4556.1615423512. The cubic root of 20758608 is about 274.8312264687.

The spelling of 20758608 in words is "twenty million, seven hundred fifty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 853 936 1014 1352 1521 1706 1872 2028 2559 2704 3042 3412 4056 5118 6084 6824 7677 8112 10236 11089 12168 13648 15354 20472 22178 24336 30708 33267 40944 44356 61416 66534 88712 99801 122832 133068 144157 177424 199602 266136 288314 399204 432471 532272 576628 798408 864942 1153256 1297413 1596816 1729884 2306512 2594826 3459768 5189652 6919536 10379304 20758608