Search a number
-
+
20885376 = 273137397
BaseRepresentation
bin100111110101…
…0111110000000
31110022002100110
41033222332000
520321313001
62023351320
7342344211
oct117527600
943262313
1020885376
1110875546
126bb2540
134433415
142ab9408
151c783d6
hex13eaf80

20885376 has 64 divisors (see below), whose sum is σ = 56022480. Its totient is φ = 6893568.

The previous prime is 20885341. The next prime is 20885383. The reversal of 20885376 is 67358802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×208853762 = 872397861322752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52410 + ... + 52806.

Almost surely, 220885376 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 20885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28011240).

20885376 is an abundant number, since it is smaller than the sum of its proper divisors (35137104).

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

20885376 is a wasteful number, since it uses less digits than its factorization.

20885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 20885376 is about 4570.0520784779. The cubic root of 20885376 is about 275.3895350190.

The spelling of 20885376 in words is "twenty million, eight hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 397 411 548 794 822 1096 1191 1588 1644 2192 2382 3176 3288 4384 4764 6352 6576 8768 9528 12704 13152 17536 19056 25408 26304 38112 50816 52608 54389 76224 108778 152448 163167 217556 326334 435112 652668 870224 1305336 1740448 2610672 3480896 5221344 6961792 10442688 20885376