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20098944 = 273273239
BaseRepresentation
bin100110010101…
…0111110000000
31101211010120100
41030222332000
520121131234
61554442400
7332560335
oct114527600
941733510
1020098944
11103886a8
126893400
134219488
14295298c
151b70399
hex132af80

20098944 has 96 divisors (see below), whose sum is σ = 58874400. Its totient is φ = 6580224.

The previous prime is 20098927. The next prime is 20098957. The reversal of 20098944 is 44989002.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20098899 and 20098908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83977 + ... + 84215.

It is an arithmetic number, because the mean of its divisors is an integer number (613275).

Almost surely, 220098944 is an apocalyptic number.

20098944 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 20098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29437200).

20098944 is an abundant number, since it is smaller than the sum of its proper divisors (38775456).

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

20098944 is a wasteful number, since it uses less digits than its factorization.

20098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20098944 is about 4483.1845824146. The cubic root of 20098944 is about 271.8886510783. Note that the first 3 decimals are identical.

The spelling of 20098944 in words is "twenty million, ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 239 288 292 384 438 478 576 584 657 717 876 956 1152 1168 1314 1434 1752 1912 2151 2336 2628 2868 3504 3824 4302 4672 5256 5736 7008 7648 8604 9344 10512 11472 14016 15296 17208 17447 21024 22944 28032 30592 34416 34894 42048 45888 52341 68832 69788 84096 91776 104682 137664 139576 157023 209364 275328 279152 314046 418728 558304 628092 837456 1116608 1256184 1674912 2233216 2512368 3349824 5024736 6699648 10049472 20098944