Search a number
-
+
20976384 = 2831113191
BaseRepresentation
bin101000000000…
…1001100000000
31110110201012010
41100001030000
520332221014
62025332520
7343203432
oct120011400
943421163
1020976384
1110927960
127037140
134465980
142b00652
151c95359
hex1401300

20976384 has 144 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 5836800.

The previous prime is 20976377. The next prime is 20976407. The reversal of 20976384 is 48367902.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109729 + ... + 109919.

It is an arithmetic number, because the mean of its divisors is an integer number (457856).

Almost surely, 220976384 is an apocalyptic number.

20976384 is a gapful number since it is divisible by the number (24) 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 20976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

20976384 is an abundant number, since it is smaller than the sum of its proper divisors (44954880).

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

20976384 is a wasteful number, since it uses less digits than its factorization.

20976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 20976384 is about 4579.9982532748. The cubic root of 20976384 is about 275.7889586026.

The spelling of 20976384 in words is "twenty million, nine hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 191 192 208 256 264 286 312 352 382 384 416 429 528 572 573 624 704 764 768 832 858 1056 1144 1146 1248 1408 1528 1664 1716 2101 2112 2288 2292 2483 2496 2816 3056 3328 3432 4202 4224 4576 4584 4966 4992 6112 6303 6864 7449 8404 8448 9152 9168 9932 9984 12224 12606 13728 14898 16808 18304 18336 19864 24448 25212 27313 27456 29796 33616 36608 36672 39728 48896 50424 54626 54912 59592 67232 73344 79456 81939 100848 109252 109824 119184 134464 146688 158912 163878 201696 218504 238368 268928 317824 327756 403392 437008 476736 537856 635648 655512 806784 874016 953472 1311024 1613568 1748032 1906944 2622048 3496064 5244096 6992128 10488192 20976384