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20443696 = 2471319739
BaseRepresentation
bin100110111111…
…1001000110000
31102110122110221
41031333020300
520213144241
62010102424
7335524420
oct115771060
942418427
1020443696
11105a3719
126a1aa14
13430a380
142a02480
151bdc5d1
hex137f230

20443696 has 80 divisors (see below), whose sum is σ = 51385600. Its totient is φ = 7651584.

The previous prime is 20443693. The next prime is 20443697. The reversal of 20443696 is 69634402.

It is a super-2 number, since 2×204436962 = 835889412280832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20443691) by changing a digit.

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, 27295 + ... + 28033.

It is an arithmetic number, because the mean of its divisors is an integer number (642320).

Almost surely, 220443696 is an apocalyptic number.

20443696 is a gapful number since it is divisible by the number (26) 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 20443696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25692800).

20443696 is an abundant number, since it is smaller than the sum of its proper divisors (30941904).

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

20443696 is a wasteful number, since it uses less digits than its factorization.

20443696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 20443696 is about 4521.4705572413. The cubic root of 20443696 is about 273.4343918732.

The spelling of 20443696 in words is "twenty million, four hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 739 988 1064 1456 1478 1729 1976 2128 2956 3458 3952 5173 5912 6916 9607 10346 11824 13832 14041 19214 20692 27664 28082 38428 41384 56164 67249 76856 82768 98287 112328 134498 153712 182533 196574 224656 268996 365066 393148 537992 730132 786296 1075984 1277731 1460264 1572592 2555462 2920528 5110924 10221848 20443696