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20200768 = 26767673
BaseRepresentation
bin100110100001…
…1110101000000
31102000022020121
41031003311000
520132411033
62000550024
7333463240
oct115036500
942008217
1020200768
1110448155
126922314
134253923
14297bb20
151b9062d
hex1343d40

20200768 has 56 divisors (see below), whose sum is σ = 46565312. Its totient is φ = 8515584.

The previous prime is 20200759. The next prime is 20200769. The reversal of 20200768 is 86700202.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29680 + ... + 30352.

Almost surely, 220200768 is an apocalyptic number.

20200768 is a gapful number since it is divisible by the number (28) 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 20200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23282656).

20200768 is an abundant number, since it is smaller than the sum of its proper divisors (26364544).

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

20200768 is an equidigital number, since it uses as much as digits as its factorization.

20200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 20200768 is about 4494.5264489154. The cubic root of 20200768 is about 272.3470195960.

The spelling of 20200768 in words is "twenty million, two hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 673 938 1072 1346 1876 2144 2692 3752 4288 4711 5384 7504 9422 10768 15008 18844 21536 30016 37688 43072 45091 75376 90182 150752 180364 301504 315637 360728 631274 721456 1262548 1442912 2525096 2885824 5050192 10100384 20200768