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20678736 = 24313311069
BaseRepresentation
bin100111011100…
…0100001010000
31102220120220010
41032320201100
520243204421
62015114520
7340523601
oct116704120
942816803
1020678736
1110744271
126b12a40
134390350
142a63da8
151c37076
hex13b8850

20678736 has 80 divisors (see below), whose sum is σ = 59440640. Its totient is φ = 6151680.

The previous prime is 20678699. The next prime is 20678737. The reversal of 20678736 is 63787602.

It is a super-2 number, since 2×206787362 = 855220245115392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 20678694 and 20678703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20678737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18810 + ... + 19878.

It is an arithmetic number, because the mean of its divisors is an integer number (743008).

Almost surely, 220678736 is an apocalyptic number.

20678736 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 20678736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29720320).

20678736 is an abundant number, since it is smaller than the sum of its proper divisors (38761904).

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

20678736 is a wasteful number, since it uses less digits than its factorization.

20678736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 20678736 is about 4547.3878215960. The cubic root of 20678736 is about 274.4782880030.

The spelling of 20678736 in words is "twenty million, six hundred seventy-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1069 1209 1488 1612 2138 2418 3207 3224 4276 4836 6414 6448 8552 9672 12828 13897 17104 19344 25656 27794 33139 41691 51312 55588 66278 83382 99417 111176 132556 166764 198834 222352 265112 333528 397668 430807 530224 667056 795336 861614 1292421 1590672 1723228 2584842 3446456 5169684 6892912 10339368 20678736