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20299776 = 2143759
BaseRepresentation
bin100110101110…
…0000000000000
31102012100001120
41031130000000
520144043101
62003032240
7334355010
oct115340000
942170046
1020299776
1110505582
12696b680
134289a03
1429a5c40
151baeb36
hex135c000

20299776 has 120 divisors (see below), whose sum is σ = 62912640. Its totient is φ = 5701632.

The previous prime is 20299757. The next prime is 20299781. The reversal of 20299776 is 67799202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344035 + ... + 344093.

It is an arithmetic number, because the mean of its divisors is an integer number (524272).

Almost surely, 220299776 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 20299776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31456320).

20299776 is an abundant number, since it is smaller than the sum of its proper divisors (42612864).

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

20299776 is an frugal number, since it uses more digits than its factorization.

20299776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 20299776 is about 4505.5272721403. The cubic root of 20299776 is about 272.7912370373.

The spelling of 20299776 in words is "twenty million, two hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 256 336 354 384 413 448 472 512 672 708 768 826 896 944 1024 1239 1344 1416 1536 1652 1792 1888 2048 2478 2688 2832 3072 3304 3584 3776 4096 4956 5376 5664 6144 6608 7168 7552 8192 9912 10752 11328 12288 13216 14336 15104 16384 19824 21504 22656 24576 26432 28672 30208 39648 43008 45312 49152 52864 57344 60416 79296 86016 90624 105728 114688 120832 158592 172032 181248 211456 241664 317184 344064 362496 422912 483328 634368 724992 845824 966656 1268736 1449984 1691648 2537472 2899968 3383296 5074944 6766592 10149888 20299776