Search a number
-
+
20752768 = 27197823
BaseRepresentation
bin100111100101…
…0100110000000
31110001100110001
41033022212000
520303042033
62020445344
7341252461
oct117124600
943040401
1020752768
1110794953
126b49854
1343b7c5a
142a82d68
151c4de7d
hex13ca980

20752768 has 32 divisors (see below), whose sum is σ = 41603760. Its totient is φ = 10311168.

The previous prime is 20752763. The next prime is 20752799. The reversal of 20752768 is 86725702.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20752763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24805 + ... + 25627.

Almost surely, 220752768 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 20752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20801880).

20752768 is an abundant number, since it is smaller than the sum of its proper divisors (20850992).

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

20752768 is an equidigital number, since it uses as much as digits as its factorization.

20752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 20752768 is about 4555.5206069120. The cubic root of 20752768 is about 274.8054513798.

It can be divided in two parts, 207 and 52768, that added together give a triangular number (52975 = T325).

The spelling of 20752768 in words is "twenty million, seven hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 197 394 788 823 1576 1646 3152 3292 6304 6584 12608 13168 25216 26336 52672 105344 162131 324262 648524 1297048 2594096 5188192 10376384 20752768