Search a number
-
+
20720976 = 243231372
BaseRepresentation
bin100111100001…
…0110101010000
31102222201211120
41033002311100
520301032401
62020042240
7341061003
oct117026520
942881746
1020720976
1110772a81
126b33380
1343a6643
142a7553a
151c44836
hex13c2d50

20720976 has 60 divisors (see below), whose sum is σ = 56267232. Its totient is φ = 6558464.

The previous prime is 20720971. The next prime is 20721013. The reversal of 20720976 is 67902702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20720971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151180 + ... + 151316.

Almost surely, 220720976 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 20720976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28133616).

20720976 is an abundant number, since it is smaller than the sum of its proper divisors (35546256).

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

20720976 is a wasteful number, since it uses less digits than its factorization.

20720976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 20720976 is about 4552.0298768791. The cubic root of 20720976 is about 274.6650511525.

The spelling of 20720976 in words is "twenty million, seven hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 137 138 184 274 276 368 411 548 552 822 1096 1104 1644 2192 3151 3288 6302 6576 9453 12604 18769 18906 25208 37538 37812 50416 56307 75076 75624 112614 150152 151248 225228 300304 431687 450456 863374 900912 1295061 1726748 2590122 3453496 5180244 6906992 10360488 20720976