Search a number
-
+
20395296 = 2532233079
BaseRepresentation
bin100110111001…
…1010100100000
31102101012002100
41031303110200
520210122141
62005050400
7335233335
oct115632440
942335070
1020395296
1110570319
1269b6a00
1342c132c
1429cc98c
151bcd0b6
hex1373520

20395296 has 72 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 6500736.

The previous prime is 20395283. The next prime is 20395313. The reversal of 20395296 is 69259302.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20395296.

It is an unprimeable number.

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, 5085 + ... + 8163.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 220395296 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 20395296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

20395296 is an abundant number, since it is smaller than the sum of its proper divisors (40145184).

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

20395296 is a wasteful number, since it uses less digits than its factorization.

20395296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 20395296 is about 4516.1151446791. The cubic root of 20395296 is about 273.2184380614.

The spelling of 20395296 in words is "twenty million, three hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3079 3312 6158 6624 9237 12316 18474 24632 27711 36948 49264 55422 70817 73896 98528 110844 141634 147792 212451 221688 283268 295584 424902 443376 566536 637353 849804 886752 1133072 1274706 1699608 2266144 2549412 3399216 5098824 6798432 10197648 20395296