Search a number
-
+
20706768 = 2432143797
BaseRepresentation
bin100111011111…
…1010111010000
31102222000100100
41032333113100
520300104033
62015452400
7341001405
oct116772720
942860310
1020706768
1110763335
126b27100
1343a0034
142a702ac
151c40513
hex13bf5d0

20706768 has 30 divisors (see below), whose sum is σ = 57950594. Its totient is φ = 6902208.

The previous prime is 20706767. The next prime is 20706787. The reversal of 20706768 is 86760702.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 8928144 = 3432^2 + 2988^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (20706767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71755 + ... + 72042.

Almost surely, 220706768 is an apocalyptic number.

It is an amenable number.

20706768 is an abundant number, since it is smaller than the sum of its proper divisors (37243826).

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

20706768 is a wasteful number, since it uses less digits than its factorization.

20706768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143811 (or 143802 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 20706768 is about 4550.4689868188. The cubic root of 20706768 is about 274.6022591725.

The spelling of 20706768 in words is "twenty million, seven hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 143797 287594 431391 575188 862782 1150376 1294173 1725564 2300752 2588346 3451128 5176692 6902256 10353384 20706768