Search a number
-
+
20360928 = 253741739
BaseRepresentation
bin100110110101…
…0111011100000
31102022102221110
41031222323200
520203022203
62004223320
7335031210
oct115527340
942272843
1020360928
1110547515
12699ab40
1342ab7b3
1429c0240
151bc2d03
hex136aee0

20360928 has 96 divisors (see below), whose sum is σ = 62657280. Its totient is φ = 5667840.

The previous prime is 20360909. The next prime is 20360933. The reversal of 20360928 is 82906302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20360895 and 20360904.

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 15 ways as a sum of consecutive naturals, for example, 27183 + ... + 27921.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 220360928 is an apocalyptic number.

20360928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20360928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328640).

20360928 is an abundant number, since it is smaller than the sum of its proper divisors (42296352).

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

20360928 is a wasteful number, since it uses less digits than its factorization.

20360928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20360928 is about 4512.3085000917. The cubic root of 20360928 is about 273.0648854881.

The spelling of 20360928 in words is "twenty million, three hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 739 861 984 1148 1312 1478 1722 1968 2217 2296 2956 3444 3936 4434 4592 5173 5912 6888 8868 9184 10346 11824 13776 15519 17736 20692 23648 27552 30299 31038 35472 41384 60598 62076 70944 82768 90897 121196 124152 165536 181794 212093 242392 248304 363588 424186 484784 496608 636279 727176 848372 969568 1272558 1454352 1696744 2545116 2908704 3393488 5090232 6786976 10180464 20360928