Search a number
-
+
20799744 = 28375373
BaseRepresentation
bin100111101011…
…0000100000000
31110010201212220
41033112010000
520311042434
62021451040
7341536440
oct117260400
943121786
1020799744
1110817179
126b70a80
134403454
142a96120
151c5cd49
hex13d6100

20799744 has 144 divisors (see below), whose sum is σ = 65342592. Its totient is φ = 5750784.

The previous prime is 20799743. The next prime is 20799763. The reversal of 20799744 is 44799702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20799696 and 20799705.

It is not an unprimeable number, because it can be changed into a prime (20799743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284892 + ... + 284964.

It is an arithmetic number, because the mean of its divisors is an integer number (453768).

Almost surely, 220799744 is an apocalyptic number.

20799744 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 20799744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32671296).

20799744 is an abundant number, since it is smaller than the sum of its proper divisors (44542848).

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

20799744 is an equidigital number, since it uses as much as digits as its factorization.

20799744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 20799744 is about 4560.6736344536. The cubic root of 20799744 is about 275.0126451486.

Subtracting from 20799744 its sum of digits (42), we obtain a palindrome (20799702).

The spelling of 20799744 in words is "twenty million, seven hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 73 84 96 106 112 128 146 159 168 192 212 219 224 256 292 318 336 371 384 424 438 448 511 584 636 672 742 768 848 876 896 1022 1113 1168 1272 1344 1484 1533 1696 1752 1792 2044 2226 2336 2544 2688 2968 3066 3392 3504 3869 4088 4452 4672 5088 5376 5936 6132 6784 7008 7738 8176 8904 9344 10176 11607 11872 12264 13568 14016 15476 16352 17808 18688 20352 23214 23744 24528 27083 28032 30952 32704 35616 40704 46428 47488 49056 54166 56064 61904 65408 71232 81249 92856 94976 98112 108332 123808 130816 142464 162498 185712 196224 216664 247616 284928 324996 371424 392448 433328 495232 649992 742848 866656 990464 1299984 1485696 1733312 2599968 2971392 3466624 5199936 6933248 10399872 20799744